Q. 3 B4.2( 9 Votes )

If U = {2, 3, 5,

Answer :

(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
caricature
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