Compute unions, intersections, complements, and Cartesian products of sets.

Question

Let S be the set of letters in your first name (or nickname), and let T be the set of letters in the word “discrete.” Write S and T in set-roster notation. Then compute S ∩ T.

Answer 1

Hi I will use my name as an example:

Set S = {A,N,I,E} * note i left out the repeated N in my name because objects in a set must be distinct.

T= {D,I,S,C,R,E,T}

The intersection of two sets is what they have in common.

Therefore, S ∩ T = {I,E}