Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

Solution for the inequality $|3x-7|≤2$ is :

Options:

$x≤3$

$x≥\frac{5}{3}$

$\frac{5}{3}≤X≤3$

$X≤\frac{5}{3}$ or $X≥3$

Correct Answer:

$\frac{5}{3}≤X≤3$

Explanation:

The correct answer is Option (3) → $\frac{5}{3}≤X≤3$

$|3x-7|≤2$

$-2≤3x-7≤2$

$-2+7≤3x≤2+7$

$5≤x≤9$

$\frac{5}{3}≤x≤3$

$∴x∈\left[\frac{5}{3},3\right]$