A = {x : x is an even natural number,}, B = {x : x is an integer}

Question

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 1

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.