Which of following pairs of sets are equal ? Justify your answer. A = { ,n:n ∈ Z and {n^2},

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1.Set Theory

easy

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} - 3x + 2 = 0\,\} .$

Option A

Option B

Option C

Option D

Solution

$A=\{-2,-1,0,1,2\}, B=\{1,2\} .$ Since $0 \in A$ and $0 \notin B, A$ and $B$ are not equal sets.

Standard 11

Mathematics

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