Question

A intersection B whole union A intersection C​

Answer 1

Answer:

Consider the sets: A = {red, green, blue} B = {red, yellow, orange}

C = {red, orange, yellow, green, blue, purple}

a) Find A ⋃ B

The union contains all the elements in either set: A ⋃ B = {red, green, blue, yellow, orange}

Notice we only list red once.

b) Find A ⋂ B

The intersection contains all the elements in both sets: A ⋂ B = {red}

c) Find Ac ⋂ C

Here we’re looking for all the elements that are not in set A and are also in C.

Ac ⋂ C = {orange, yellow, purple}