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Question

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)

A

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

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B

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

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C

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

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D

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

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Solution

The correct option is C 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 2n(A) elements So, as n(A) = 3 No. of element in P(A) = 23 = 8

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