Question

Given U = {10, 11, 12, 13, 14, ... , 20}, A = {10, 12, 14, 16, 18} and B = {10, 11, 12, 13, 14, 15},
1. (AnB)' = A'uB'​

Answer 1

Step-by-step explanation:

solving L.H.S

(AnB)'

AnB={10,12,14}

(AnB)'=U-(AnB)

(AnB)'={11,13,15,16,17,18,19,20}

solving R.H.S

A'nB'

A'=U-A

A'={11,13,15,17,19,20}

B'=U-B

B'={16,17,18,19,20}

A'UB'={11,13,15,16,17,18,19,20}

Hence proved

(AnB)'=A'uB'