The number of elements of the set x-x- Z-x2-1 is -

The correct option is B 2 x^2=1⇒ x=1, 1 Since both solutions are integers the set has 2 elements ...

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Definition of Sets

The number of...

Question

The number of elements of the set ${x : x \in Z, x^{2} = 1}$ is :

3

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2

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1

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0

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The elements of the set $A = {x : x \in Z, - \frac{3}{2} < x < \frac{11}{2}}$ are ______ (Here, $Z$ stands for the set of integers).

Find the cardinal number of the following sets :

(i) $A_{1} = {- 2, - 1, 1, 3, 5}$

(ii) $A_{2} = {x : x \in N a n d 3 \leq x < 7}$

(iii) $A_{3} = {p : p \in W a n d 2 p - 3 < 8}$

(iv) $A_{4} = {b : b \in Z a n d - 7 < 3 b - 1 \leq 2}$ $Cardinal~Number~of~set~:The number of elements in a set is called its Cardinal Number.$

A = {- 1, 1}

Let $U = R ($ the set of all real numbers $)$ If $A = {x : x \in R, 0 < x < 2}, B = {x : x \in R, 1 < x \leq 3}$ , then

X = {x : x \in N and - 3 < x < 4}

Y = {x : x \in N and x^{2} + x - 6 \leq 0} .

(X \times Y) \cap (Y \times X)

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