Q. 3 B4.2( 9 Votes )

# If U = {2, 3, 5,

(A B}’ = A’ B.’

(A B) = {x:x ϵ A and x ϵ B }.

= {7}

(AB)’ means Complement of (AB) with respect to universal set U.

So, (AB)’ = U–(AB)

U–(AB)’ is defined as {x ϵ U : x (AB)’}

U = {2, 3, 5, 7, 9}

(AB)’ = {7}

U–(AB)’ = {2, 3, 5, 9}

A’ means Complement of A with respect to universal set U.

So, A’ = U–A

U–A is defined as {x ϵ U : x A}

U = {2, 3, 5, 7, 9}

A = {3, 7}

A’ = {2, 5, 9}

B’ means Complement of B with respect to universal set U.

So, B’ = U–B

U–B is defined as {x ϵ U : x B}

U = {2, 3, 5, 7, 9}

B = {2, 5, 7, 9}.

B’ = {3}

A’ B’ = {x: x ϵ A or x ϵ B }

= {2, 3, 5, 9}

Hence verified.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

If U = {2, 3, 5, RD Sharma - Mathematics

If U = {1, 2, 3, RS Aggarwal - Mathematics

If U = {2, 3, 5, RD Sharma - Mathematics

Fill in the blankMathematics - Exemplar

if U is the univeRS Aggarwal - Mathematics

Given the sets A NCERT - Maths

What universal seNCERT - Maths

If A = {1, 3, 5},RS Aggarwal - Mathematics