Consider the sets and

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the sets

A = \{x \in \mathbb Z \mid -1 \le x \le 2\}

and

B = \{y \in \mathbb Z \mid 1 \le y \le 3\}

. How many ordered pairs

(x,y) \in A \times B

satisfy

x < y

? (a)

10

(b)

9

(c)

7

(d)

8

Related theory

Browse the problem library