Question

Let U = {9, 10, 11, 12, 13, 14} and A = {11, 13}. Determine whether the statement A⊂U is true or false and find A'.

a. false; A' = {11, 12, 13, 14}
b. true; A' = {9, 10, 11, 12, 14}
c. false; A' = {9, 12, 14}
d. true; A' = {9, 10, 12, 14}

Answer 1

D; A⊂U is true and A'={9, 10, 12, 14}

Explanation:

A={11,13}

Because those numbers are included in the statement U={9,10,11,12,13,14}, we can say that it's true that A belongs to U.

A' is the numbers of U not including A. So, it would just be U without the 11 and 13, or {9,10,11,12}