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Q45 of 58 Page 12

Fill in the blanks

When A = ϕ, then number of elements in P(A) is _________.

1

Given: A = ϕ


To find: n[P(A)]


A = ϕ ⇒ n(A) = 0


P(A) is a power set and number of elements in power set is 2x where x is number of elements in set A


Therefore,


n[P(A)] = 20 = 1


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If X and Y are two sets and X′ denotes the complement of X, then X ∩ (X ∪ Y)′ is equal to

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The set {x ∈ R: 1 ≤ x < 2} can be written as ______________.

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Fill in the blanks

If A and B are finite sets such that A ⊂ B, then n (A ∪ B) = ______________.

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Questions · 58
1. Sets
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