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

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

A = {x : x is a real number,}, B = {x : x is a complex number}

 

Solution:

A ⊂ B

Explanation: we have, A = set of real numbers and B = set of complex numbers, a combination of the real and imaginary number in the form of a+ib, where a and b are real, and i is imaginary.

Since, any real number can be expressed as complex number, A ⊂ B.

 

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