TRUE / FALSE

Question 11 Mark

If $ξ = \{$all digits in our number system$\}, A = \{$multiples of $2\}$ and $B = \{$multiples of $3\}$, then $A ∩ B = \{6\}.$

Answer

If $ξ = \{$all digits in our number system$\}, A = \{$multiples of $2\}$
and $B = \{$multiples of $3\}$, then $A ∩ B = \{6\}. ($True$)$
If $ξ = \{$all digits in our number system$\}$
$= \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$
$A = \{$multiples of $2\} = \{2, 4, 6, 8\}$
$B = \{$multiples of $3\} = \{3, 6, 9\}$
Then $A ∩ B = \{6\}$

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Question 21 Mark

If $A= \{0,1, 2,3,4, 5\}$ and $B = \{0,3,5,7\}$, then $A ∪ B=A.$

Answer

If $A = \{0, 1, 2, 3, 4, 5\}$ and $B = \{0, 3, 5, 7\}, $then $A ∪ B = A. ($False$)$
Correct : As $A ∪ B = \{0, 1, 2, 3, 4, 5, 7\}$

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Question 31 Mark

If $A = \{0,1,2,3,4, 5\}$ and $B = \{0,3, 5, 7\}$, then $A ∩ B = B$.

Answer

if $A= \{0, 1, 2, 3, 4, 5\}$ and $B = \{0, 3, 5, 7\}$, then $A n B = B. ($False$)$
Correct : As $A n B = \{0, 1,3, 5\}$

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Question 41 Mark

If $ξ$ is the universal set and $A$ is any set, then $A’ = \{x;\ x\ ϵ \ ξ $ and $r ∉ A\}.$

Answer

If $4$ is the universal set and $A$ is any set, then $A’ = \{x ; x\ ϵ \ ξ,$ and $x ∉ A\}. ($True$)$

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MATHS TRUE / FALSE

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