Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Solve the inequality 7 less than or equal to (3x + 11) / 2 less than or equal to 11

Solve the inequality

    Q6.    7 \leq \frac{(3x+ 11)}{2}\leq 11

Answers (1)

best_answer

Given the linear inequality

 7 \leq \frac{(3x+ 11)}{2}\leq 11

7 \leq \frac{(3x+ 11)}{2}\leq 11

\Rightarrow \, \, 7\times 2 \leq (3x+ 11)\leq 11\times 2

\Rightarrow \, \, 14 \leq (3x+ 11)\leq 22

\Rightarrow \, \, 14-11 \leq (3x)\leq 22-11

\Rightarrow \, \, 3 \leq 3x\leq 11

\Rightarrow \, \, 1 \leq x\leq \frac{11}{3}

The solution set  of the given inequality is  [1,\frac{11}{3}]

Posted by

seema garhwal

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 extends single girl child scholarship registration deadline till November 20

Latest Question