# Make Venn diagrams to verify that the following theorems on sets hold. Use some systematic shading or

## Question:

Make Venn diagrams to verify that the following theorems on sets hold. Use some systematic shading or coloring to clearly distinguish the relevant sets.

**(a)** A n (B U C) = (A fl B) U (A fl C)

**(b)** (Aflfi)C 1C (A U B)

**(c)** A - BC A

**(d)** if A C B and C C D, then (A U C) C (B U D)

**(e)** if AD Rand CD D, then (Afl C)D (B

**f)** D)

**(f)** A n B = A — (A — B)

(g) Ail (B- A) = AUB

(h) A - (A r\B) = A — B

(i) An (B- C) = (Ai) B) — C.

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**

## Statistics Probability Inference And Decision

**ISBN:** 9780030778056

1st Edition

**Authors:** Robert L. Winkler, William L. Hays