State in each case whether A ⊂ B or A ⊄ B. A = {x : x is an even – InterviewSolution

InterviewSolution

1.

State in each case whether A ⊂ B or A ⊄ B. A = {x : x is an even natural number,}, B = {x : x is an integer}

Answer»

A ⊂ B

Explanation: we have, A = {2,4,6,8,...} and B = {. . ., –3, –2, –1, 0, 1, 2, 3, . . .}.

since, even natural numbers are also integers, we observe that elements of A belongs to B.

Thus , A ⊂ B.

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