Question

Find $A\cup B$ and $A\cap B$ for the following sets.
(i) $A=\{0,1,2,4,6\}$ and $B=\{-3,-1,0,2,4,5\}$
(ii) $A=\{2,4,6,8\}$ and $B=\varnothing$
(iii) $A=\{x:x\in N,x\le 5\}$ and $B=$ {$x:x$ is a prime number less than 11}
(iv) $A=\{x:x\in N,2<x\le 7\}$ and $B=\{x:x\in W,0\le x\le 6\}$

Answer 1

(i) $A\cup B=\{-3,-1,0,1,2,4,5,6\},A\cap B=\{0,2,4\}$
(ii) $A\cup B=\{2,4,6,8\},A\cap B=\varphi$
(iii) $A\cup B=\{1,2,3,4,5,7\},A\cap B=\{2,3,5\}$
(iv) $A\cup B
=\left \{ 0,1,2,3,4,5,6,7 \right \} , A\cap B=\left \{ 3,4,5,6 \right \}$