Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

$\frac{5-2x}{3}≤\frac{x}{6}-5$

Options:

$[8, ∞)$

$[7, ∞)$

$[9, ∞)$

$[5, ∞)$

Correct Answer:

$[8, ∞)$

Explanation:

The correct answer is option (1) : $[8, ∞)$

$\frac{5-2x}{3}≤\frac{x}{6}-5$

Multiply both sides by 6

$2(5-2x)≤x-30$

$-5x≤-40$

$x≥8$

∴Solution is $[8, ∞)$