Match the following:

$\begin{matrix} Column A & Column B 1. {x: x \in R, -5 < x \leq 15 } & a. 1 2. A = ϕ, then the power set P(A) has - ---- - elements & b . 8 3. Universal set of Rational Numbers & Irrational Numbers & c . Real Numbers 4. No. of elements in Power Set of A = {a, b, c} & d . Integers e . (- 5, 15] f . [- 5, 15) \end{matrix}$

1 - b, 2 - c, 3 - a, 4 -e

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1 - e, 2 - a, 3 - b, 4 -c

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1 - b, 2 - a, 3 - c, 4 -e

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1 - e, 2 - a, 3 - c, 4 -b

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Solution

The correct option is D
1 - e, 2 - a, 3 - c, 4 -b

1. -5 < x ≤ 15 ⇒ (-5, 15]

2. ∅ is a subset of A, so, P(A) = {∅}

There is 1 element in P(A)

3. Universal set of rational and irrational numbers is real numbers.

4. A = {a, b, c}

P(A) has 2^n(A) elements

So, as n(A) = 3

No. of element in P(A) = 2³ = 8

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Match the following: Column AColumn B1. {x: x ∈ R, -5 < x ≤ 15 } a. 1 2. A = ϕ, then the power set P(A) has ––––––elements b.8 3. Universal set of Rational Numbers & Irrational Numbersc.Real Numbers4. No. of elements in Power Set of A={a,b,c} d.Integers e.(−5,15] f.[−5,15)