Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Taking the set of natural numbers as the universal set, write down the complements of the following sets: (vi) { x : x is a perfect square } (vii) { x : x is a perfect cube} (viii) { x : x + 5 8 } (ix) { x : 2x + 5 9} (x) { x : x  7 }

Q.3 Taking the set of natural numbers as the universal set, write down the complements of the following sets:

(vi) { x : x is a perfect square }

(vii) { x : x is a perfect cube}

(viii) { x : x + 5 =8 }

(ix) { x : 2x + 5 =9}

(x) { x : x \geq 7 }

(xi) { x : x \inN and 2x + 1 > 10 }

Answers (1)

best_answer

Universal set = U = {1,2,3,4,5,6,7,8.............}

(vi) { x : x is a perfect square }' = U - { x : x is a perfect square } =  { x : x \in N and x is not a perfect square }

(vii) { x : x is a perfect cube}' = U - { x : x is a perfect cube} =  { x : x \in N and x is not a perfect cube}

(viii) { x : x + 5 =8 }' = U - { x : x + 5 =8 } = U - {3} = { x : x\in N and x \neq 3 }

(ix) { x : 2x + 5 =9}' = U - { x : 2x + 5 =9} = U -{2} =  { x : x\in N and x \neq 2}

(x) { x : x \geq 7 }' = U -  { x : x \geq 7 } =  { x : x\in N and x < 7 }

(xi) { x : x \inN and 2x + 1 > 10 }' = U - { x : x \inN and x  > 9/2 } =  { x : x\in N and x \leq  9/2 }

Posted by

Divya Prakash Singh

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question