Question

Give that the universal set

• µ = (1,2,3,4,5,6,7,8,9,10) , p = (1,2,4,6,10) and Q = (2,3,6,9).
Show that (P U Q)’= P’ n Q’

Answer 1

$(P\cup Q)=(1,2,3,4,6,9,10),\;\;(P\cup Q)'=(5,7,8).$

$P'=(3,5,7,8,9),\;\;Q'=(1,4,5,7,8,10),\;\;P'\cap Q'=(5,7,8).$

$So,\;\;(P\cup Q)'=P'\cap Q'.$