Let and . An ordered pair is said to be acceptable if…

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A=\{0,1,2,3,4\}

and

B=\{1,3,5,7,9\}

. An ordered pair

(a,b)\in A\times B

is said to be acceptable if

a<\dfrac{b}{2}

. (i) Find the number of acceptable ordered pairs. (ii) Determine the domain and range of the set of all acceptable ordered pairs.