Question

if A ={x:x € W, x<2} and B = {x:x € N ,1<x<5} and C = {3,5} , find 1. A×(B intersection C) and 2. A× (B union C)​

Answer 1

Answer:

X={x:1≤x≤50,x∈N}

A={x:x is multiple of 2}

∴n(A)=25

B={x:x is multiple of 7}

∴n(B)=7

n(A∩B)=3

From question

n(A∪B)=n(A)+n(B)−n(A∩B)

=25+7−3

=29