Question

Find the intersection of each of the following pairs of sets.
(i) A = {1, 2, 4, 5, 7}, B = {2, 3, 4, 8}
(ii) C = {x|x $\in$ N, 5 < x $\le$10} D = {y|y $\in$ W, 5 $\le$ y < 10}
(iii) E = {x|x $\in$I, x < 0} F = {y|y $\in$ I, Y > 0}

Answer 1

(i) A = {1,2,4,5,7} and B = {2,3,4,8}

$\therefore$ A$\cap$B = {2,4}

(ii) C = {6,7,8,9,10} and D = {5,6,7,8,9}

$\therefore$ C$\cap$D = {6,7,8,9}

(iii) E = {−$\infty$,...,−2,−1} and F = {1,2,...,$\infty$}

$\therefore$ E$\cap$F = $\mathrm{\varphi }$