Question
State whether the following statements are true or false:
The set {x : x + 8 = 8} is the null set.
The set {x : x + 8 = 8} is the null set.
✓
Answer
False.
Explanation:
$\because$ the set {x : x + 8 = 8} is the single ton set {0} which is not the null set $\oint.$Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
State whether the statements:
The points A (-2, 1), B (0, 5), C (-1, 2) are collinear.
The points A (-2, 1), B (0, 5), C (-1, 2) are collinear.
$\lim _{x \rightarrow \infty} \frac{5 x-6}{\sqrt{4 x^2}+9}=\frac{2}{5}$
→$\sum_{r=0}^n 3^r .{ }^n C _r=4^n$
→The maximum value of $\cos (\cos x)$ is 1 and the minimum value is $\cos 1$.
→Solution Set of $\text{x}+\text{y}\geq0.$
.PNG)
→Graph of $\text{x}\geq3$ is:
.PNG)
→If $A =\{1,2,3\}$ and $B =\{3\}, A - B =\{1,2\}$
→The probability of getting a digit greater than 6 on throwing a dice is $0.$
→State True or False for the following statement:
Eighteen guests are to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side of the table.
The number of ways in which the seating arrangements can be made is $\frac{11!}{5!6!}(9!)(9!) .$
→Eighteen guests are to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side of the table.
The number of ways in which the seating arrangements can be made is $\frac{11!}{5!6!}(9!)(9!) .$
State which of the following statements is True or False.
If x < y and b < 0, then $\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}.$
→If x < y and b < 0, then $\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}.$