Q1b. [3 points] Give a counterexample to demonstrate that

(A\\\\times B)\\\\cup (A\\\\times C)subeA\\\\times (B\\\\cap C)

does not hold true in general.\ Your counterexample should consist of concreto sets'

A,B

, and

C

and you should explicitly list ail elements in these sets, as well as the sets

(A\\\\times B)\\\\cup (A\\\\times C)

and

A\\\\times (B\\\\cap C)

.\

^(')

For this question, give sets

A,B

and

C

that are subsets of the universal set

U={1,2,3}

.

21b. [3 points] Give a counterexample to demonstrate that (AB)(AC)A(BC) does not hold true in general. Your counterexample should consist of concreto sets' A,B, and C and you should explicitly list all elements in these sets, as well as the sets (AB)(AC) and A(BC). 'For this question, give sets A,B and C that are subsets of the universal set U={1,2,3}