Let , , and . List the elements…

MATHEMATICS · Multi-part · CBSE · Mathematics · Sets · Sets

Problem

Let

U=\{x\in\mathbb{Z}^+\mid x\leq30\}

P=\{\text{factors of }24\}

, and

Q=\{\text{factors of }30\}

. List the elements of: (1)

P

(2)

Q

(3)

P\cap Q

(4)

P\cup Q

(5) Show that

n(P\cup Q)=n(P)+n(Q)-n(P\cap Q)