Match the following:

$\begin{matrix} Column A & Column B 1. {x: x \in R, -5 < x \leq 15 } & A. 1 2. A = T h e p o w e r s e t P (A) h a s - ---- - e l e m e n t s & B . 8 3. U n i v e r s a s e t o f R a t i o n a l N u m b e r s & I r r a t i o n a l N u m b e r s & C . R e a l N u m b e r s 4. N o . o f e l e m e n t s i n P o w e r S e t o f A = {a, b, c} & D . I n t e g e r s E . (- 5, 15] F . [- 5, 15) \end{matrix}$

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

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

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

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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 2^n(A) elements

So, as n(A) = 3

No. of element in P(A) = 2³ = 8

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Similar questions

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Match the following: Column AColumn B1. {x: x ∈ R, -5 < x ≤ 15 } A. 1 2.A=ThepowersetP(A)has––––––elements B.8 3.UniversasetofRationalNumbers&IrrationalNumbersC.RealNumbers4.No.ofelementsinPowerSetofA={a,b,c} D.Integers E.(−5,15] F.[−5,15)