Let D = {12, 15, 17}, E = {12, 14, 15, 16} and F = {11, 13, 14, 15,17}.

List the elements in the set (D U E)∩ F.

**Solution:-**

Begin by finding the set insider the parentheses. Remember that D U E represents the set of numbers that are either in D, in E, or in both D and E.

D U E = {12, 14, 15, 16 17}

Now find the intersection of your previous result, {12, 14, 15, 16, 17}, and F.

(D U E)∩ = {12, 14, 15, 16, 17} ∩

= {14, 15, 17}