Let , , and . List the elements of , , , and . Show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Sets · Sets

Problem

Let

U = \{x \in \mathbb{Z}^+ \mid x \le 30\}

,

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

, and

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

. List the elements of

P

,

Q

,

P \cap Q

, and

P \cup Q

. Show that

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

.

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