Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Show that the statement p: “If x is a real number such that x^3 + 4x = 0, then x is 0” is true by (iii) method of contrapositive

1.(iii)    Show that the statement
            p: “If x is a real number such that x^3 + 4x = 0, then x is 0” is true by

             (iii) method of contrapositive

Answers (1)

best_answer

If x is a real number such that x^3 + 4x = 0, then x is 0 : (if p then q)

p: x is a real number such that x^3 + 4x = 0.

q: x is 0.

In order to prove the statement “if p then q” 

Contrapositive Method:  By assuming that q is false, prove that p must be false.

So,

q is false: x \neq 0

\implies x.(Positive number) \neq 0.(Positive number)

\implies x(x^2 + 4) \neq 0(x^2 + 4)

\implies x(x^2 + 4) \neq 0 \implies x^3 + 4x \neq 0

Therefore p is false.

Posted by

HARSH KANKARIA

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

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question