State in each case whether A ⊂ B or A ⊄ B.

Question:

State in each case whether A ⊂ B or A ⊄ B.

$A=\left\{x: x \in Z, x^{2}=1\right\}, B=\left\{x: x \in N, x^{2}=1\right\}$

 

Solution:

A ⊄ B

Explanation: we have, A = { -1,1} and B={1}

Since, -1∈A and -1∉B thus A ⊄ B .

 

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