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Cardinality

Find the numb...

Question

Find the number of elements in the following set
$B = {x ∣ 4 < x < 5, x \in W}$

0

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Solution

The correct option is A $0$
$B =$ { $ϕ$ } Since there is no whole number between $4$ and $5$
$0$ is the answer.

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Similar questions

A = {x : x ϵ W, 3 \leq x < 6}, B = {3, 5, 7}

C = {2, 4}

A \times (B - C)

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

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x - 5 < 0

x + 1 \leq 7

3 x - 4 > 6

4 x + 1 > 17

N = {1, 2, 3, 4, . . .}

W = {0, 1, 2, 3, . . .}

A = {x | x = 2^{n}, n \in W

B = W - {0}

x - 5 < - 2; x \in W

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