Mathematics

Problem

Consider the sets defined below and answer the questions that follow. a. (i) Let

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

and

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

. Write both sets in roster form. b. (ii) List all ordered pairs of

B\times A

. c. (iii) From the set obtained in part (ii), write the subset

S=\{(b,a)\in B\times A\mid b>a\}

and determine

|S|

. State your answer clearly.