Question 511 Mark
If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find: $A \cap B$ ?
AnswerHere A = {x : x is a natural number} = {1, 2, 3, 4, 5, . . .}
B = { x : x is an even natural number} = {2, 4, 6, . . . }
C = {x : x is an odd natural number} = {1, 3, 5, 7, . . .}
and D = {x : x is a prime nmber} = {2, 3, 5, 7. . . . } $A \cap B$ = {x :x is a natural number)$ \cap $ {x : x is an even natural number}
= {x : x is an even natural number}
= B
View full question & answer→Question 521 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find: $(A \cap B) \cap (B \cup C)$
AnswerHere A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} $(A \cap B) \cap (B \cup C) =$$(\{ 3,5,7,9,11\} \cap \{ 7,9,11,13\} ) \cap (\{ 7,9,11,13\} \cup \{ 11,13,15\} )$
$ = \{ 7,9,11\} \cap \{ 7,9,11,13,15\}$
= {7, 9, 11}
View full question & answer→Question 531 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find: $A \cap (B \cup D)$
AnswerHere A = {3,5,7,9,11}, B = {7,9,11,13}, C = {11,13,15} and D = {15,17} $A \cap (B \cup D) = $$A \cap (B \cup D) = \{ 3,5,7,9,11\} \cap (\{ 7,9,11,13\} \cup \{ 15,17\} )$
$ = \{ 3,5,7,9,11\} \cap \{ 7,9,11,13,15,17\} $
= {7,9, 11}
View full question & answer→Question 541 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find $A \cap D$
AnswerHere A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} $A \cap D = \{ 3,5,7,9,11\} \cap \{ 15,17\} = \phi $
View full question & answer→Question 551 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find: $A \cap (B \cup C)$
AnswerHere A = {3,5,7,9,11}, B = {7,9,11,13}, C = {11,13,15} and D = {15,17} $A \cap (B \cup D) = \{ 3,5,7,9,11\} \cap (\{ 7,9,11,13\} \cup \{ 11,13,15\} )$
$ = \{ 3,5,7,9,11\} \cap \{ 7,9,11,13,15\} $
= {7, 9, 11}
View full question & answer→Question 561 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find: $B \cap D$
AnswerHere A = {3,5,7,9,11}, B = {7,9,11,13}, C = {11,13,15} and D = {15,17} $B \cap D = \{ 7,9,11,13\} \cap \{ 15,17\} = \phi $
View full question & answer→Question 571 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find $A \cap C$
AnswerHere A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} $A \cap C = \{ 3,5,7,9,11\} \cap \{ 11,13,15\}$= {11}
View full question & answer→Question 581 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find $A \cap C \cap D$
AnswerHere A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} $A \cap C \cap D = \{ 3,5,7,9,11\} \cap \{ 11,13,15\} \cap \{ 15,17\} = \phi $
View full question & answer→Question 591 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find $B \cap C$
AnswerHere A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} $B \cap C = \{ 7,9,11,13\} \cap \{ 11,13,15\} $= {11, 13}
View full question & answer→Question 601 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find:$(A \cup D) \cap (B \cup C)$
AnswerHere A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} $(A \cup D) \cap (B \cup C) = $$(\{ 3,5,7,9,11\} \cup \{ 15,17\} ) \cap (\{ 7,9,11,13\} \cup \{ 11,13,15\} )$
$ = \{ 3,5,7,9,11,13,15,17\} \cap \{ 7,9,11,13,15\}$
= {7, 9, 11,15}
View full question & answer→Question 611 Mark
If A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17} find: $A \cap B$?
AnswerHere A = {3,5,7,9,11}, B = {7,9,11,13}, C = {11,13,15} and D = {15,17} $A \cap B = \{ 3,5,6,7,11\} \cap \{ 7,9,11,13\} = \{ 7,9,11\}$
View full question & answer→Question 621 Mark
Find the intersection pair of the set : A = {1, 2, 3}, B = $\phi$
AnswerWe have,
A = {1, 2, 3}
And, B = $\phi$
$\therefore$ A $\cap$ B = {$\phi$}
View full question & answer→Question 631 Mark
Find the intersection pair of the set : A = {x : x is a natural number and 1 < x $\leq$ 6 }, B = {x : x is a natural number and 6 < x < 10}
AnswerWe have,
A = {2, 3, 4, 5, 6}
And, B = {7, 8, 9}
$\therefore$ A $\cap$ B = {$\phi$}
View full question & answer→Question 641 Mark
Find the intersection pair of the set : A = {x : x is a natural number and multiple of 3}, B = {x : x is a natural number less than 6}
AnswerGiven,
A = {3, 6, 9, 12, 15, 18, ....}
And, B = {1, 2, 3, 4, 5}
$\therefore$A $\cap$ B = {a}
View full question & answer→Question 651 Mark
Find the intersection pair of the set : A = {a, e, i, o, u} B = {a, b, c}
AnswerWe have
A = {a, e, i, o, u}
And, B = {a, b, c}
$\therefore$ A $\cap$ B = {a}
View full question & answer→Question 661 Mark
Find the intersection pair of the set : X = {1, 3, 5} Y = {1, 2, 3}
AnswerHere, we have
X = {1, 3, 5}
And, Y = {1, 2, 3}
$\therefore$ X $\cap$ Y = {1, 3}
View full question & answer→Question 671 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $B \cup C \cup D$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $B \cup C \cup D =$
$= \{ 3,4,5,6\} \cup \{ 5,6,7,8\} \cup \{ 7,8,9,10\}$
$= \{ 3,4,5,6,7,8\} \cup \{ 7,8,9,10\}$
= {3, 4, 5, 6, 7, 8, 9,10}
View full question & answer→Question 681 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $A \cup B \cup D$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $A \cup B \cup D = \{ 1,2,3,4\} \cup \{ 3,4,5,6\} \cup \{ 7,8,9,10\}$
$= \{ 1,2,3,4,5,6\} \cup \{ 5,6,7,8\}$
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
View full question & answer→Question 691 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $A \cup B \cup C$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $A \cup B \cup C = \{ 1,2,3,4\} \cup \{ 3,4,5,6\} \cup \{ 5,6,7,8\} $
$= \{ 1,2,3,4,5,6\} \cup \{ 5,6,7,8\}$
= {1, 2, 3,4, 5, 6, 7, 8}
View full question & answer→Question 701 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $B \cup D$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $B \cup D = \{ 3,4,5,6\} \cup \{ 7,8,9,10\}$= {3, 4, 5, 6, 7, 8, 9, 10}
View full question & answer→Question 711 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $B \cup C$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $B \cup C = \{ 3,4,5,6\} \cup \{ 5,6,7,8\}$= {3, 4, 5, 6, 7, 8}
View full question & answer→Question 721 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $A \cup C$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $A \cup C = \{ 1,2,3,4\} \cup \{ 5,6,7,8\}$= {1, 2, 3, 4, 5, 6, 7, 8}
View full question & answer→Question 731 Mark
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10} find: $A \cup B$
AnswerHere A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D ={7, 8, 9, 10} $A \cup B = \{ 1,2,3,4\} \cup \{ 3,4,5,6\}$= {1, 2, 3, 4, 5, 6}
View full question & answer→Question 741 Mark
If A and B are two sets such that $A \subset B,$ then what is $A \cup B$?
AnswerHere A and B are two sets such that $A \subset B$
Then $A \cup B$ = B
View full question & answer→Question 751 Mark
Let A = {a, b}, B = {a, b, c}. Is A $\subset$ B ? What is A $\cup$ B?
AnswerWe have,
$A =\{a, b\}$
And, B = {a, b, c}
Here, it is clearly seen that all the elements of set A are present in set B
$\therefore \ A \subset B$
And, $A \cup B=\{a, b, c\}=B$
View full question & answer→Question 761 Mark
Find the union pair of set: A = {1, 2, 3} and B = $\phi$
AnswerHere A = {1, 2, 3} and $B = \phi ,\,\,\therefore A \cup B = \{ 1,2,3\} $
View full question & answer→Question 771 Mark
Find the union pair of set: A = {x : x is a natural number and 1 < x $\leq$ 6} and B = {x : x is a natural number and 6 < x < 10}
AnswerHere A = {x : x is a natural number and $1 < x \leq 6$}
= {2, 3, 4, 5, 6}
and B = {x : x is a natural number and 6 < x < 10}
= {7, 8, 9}
$\therefore$ $A \cup B$ = {2,3,4,5,6,7,8,9}
View full question & answer→Question 781 Mark
Find the union pair of set: A = {x : x is a natural number and multiple of 3} and B = {x : x is a natural number less than 6}
AnswerHere A = {x : x is a natural number and multiple of 3}
= {3, 6, 9, 12, . . . }
and B = {x : x is a natural number less than 6}
= {1, 2, 3, 4, 5} $\therefore A \cup B = \{ 1,2,3,4,5,6,9,12,15,....\}$
View full question & answer→Question 791 Mark
{2, 6, 10} and {3, 7, 11} are disjoint sets.
Question 801 Mark
{2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.
Question 811 Mark
{a, e, i, o, u) and {a, b, c, d} are disjoint sets.
Question 821 Mark
{2,3, 4, 5} and {3, 6} are disjoint sets.
Question 831 Mark
Find the union pair of set: A = {a, e, i, o, u} and B = {a, b, c}
AnswerHere A = {a, e, i, o, u} and B = {a, b, c}, $\therefore A \cup B = \{ a,b,c,e,i,o,u\}$
View full question & answer→Question 841 Mark
If R is the set of real numbers and Q is the set of rational numbers, then what is R - Q?
AnswerWe know that set of real numbers contain rational and irrational number.
So R - Q set of irrational numbers.
View full question & answer→Question 851 Mark
Find the union pair of set: X = {1, 3, 5} and Y = {1, 2, 3}
AnswerHere X = {1, 3, 5} and Y = {1, 2, 3}, $\therefore X \cup Y = \{ 1,2,3,5\}$
View full question & answer→Question 861 Mark
If X = {a, b, c, d} and Y = {f, b, d, g} find: $X \cap Y$
AnswerHere X = {a, b, c, d} and Y = {f, b, d, g} $X \cap Y = \{ a,b,c,d\} \cap \{ f,b,d,g\} $ = {b, d}
View full question & answer→Question 871 Mark
If X = {a, b, c, d} and Y = {f, b, d, g} find: Y - X
AnswerHere X = {a, b, c, d} and Y = {f, b, d, g}
Y - X = {f, b, d, g} - {a, b, c, d} = {f , g}
View full question & answer→Question 881 Mark
If X = {a, b, c, d} and Y = {f, b, d, g} find: X - Y
AnswerX - Y ={a, b, c, d} - {f, b, d, g}={a,c}
View full question & answer→Question 891 Mark
Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Is {1, 2, 3, 4, 5, 6, 7, 8} be considered as universal set for all the three sets A, B and C?
Answer{1, 2, 3, 4, 5, 6, 7, 8} is not a universal set for A, B, C because $0 \in C$ but 0 is not a member of {1, 2, 3, 4, 5, 6,7, 8}.
View full question & answer→Question 901 Mark
Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be considered as universal set for all the three sets A, B and C?
Answer{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is a universal set for A, B, C because all members of A, B, C are present in {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
View full question & answer→Question 911 Mark
Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, Is $\phi$ be considered as universal set for all the three sets A, B and C?
AnswerGiven that- A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}
Now, suppose D = $\phi$ Since,
D is an empty set ,it does not contain any element.
$Therefore $ D is not a universal set for A, B, C.
View full question & answer→Question 921 Mark
Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Is {0, 1, 2, 3, 4, 5, 6} be considered as universal set for all the three sets A, B and C?
Answer{{0,1, 2, 3, 4, 5, 6} is not a universal set for A, B, C, because $8 \in C$ but 8 is not a member of {0, , 2, 3, 4, 5, 6}
View full question & answer→Question 931 Mark
What universal set would you propose: The set of isosceles triangles.
AnswerIsosceles triangle is a type of triangle. So the set of triangles contain all types of triangles.
$\therefore$ U = {x : x is a triangle in plane}
View full question & answer→Question 941 Mark
What universal set would you propose: The set of right triangles.
AnswerRight triangle is a type of triangle. So the set of triangles contain all types of triangles.
$\therefore$ U = {x : x is a triangle in plane}
View full question & answer→Question 951 Mark
Write the interval [-23, 5) in set builder form.
AnswerThe interval [-23, 5) can be written in set builder form as $\{ x:x \in R, - 23 \leqslant x < 12\} $
View full question & answer→Question 961 Mark
Write the interval (6, 12] in set builder form.
AnswerThe interval (6, 12] can be written in set builder form as $\{ x:x \in R,6 \leqslant x \leqslant 12\}$
View full question & answer→Question 971 Mark
Write the interval [6, 12] in set builder form.
AnswerThe interval [6, 12] can be written in set builder form as $\{ x:x \in R,6 \leqslant x \leqslant 12\} $
View full question & answer→Question 981 Mark
Write the interval in set builder form (-3, 0)
AnswerThe interval (-3, 0) can be written in set builder form as $\{ x:x \in R, - 3 < x < 0\} $
View full question & answer→Question 991 Mark
Write $\{ X:X \in R,3 \leq X < 4\}$ as interval.
AnswerLet A = $\{ x \in R:3 \leq x \leq 4\}$
it can be written as [3,4]
View full question & answer→Question 1001 Mark
Write $\{ X:X \in R,0 \leq X < 7\}$ as interval.
AnswerLet A = $\{ x \in R:0 \leq x < 7\}$
it can be written as [0,7]
View full question & answer→