Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The set of values of 'x' for which $37-(3x+5)≥9x-8(x-3)$ holds true is :

Options:

(-∞, 2]

[2, ∞)

(-∞, 2)

(2, ∞)

Correct Answer:

(-∞, 2]

Explanation:

The correct answer is Option (1) → (-∞, 2]

$37-(3x+5)≥9x-8(x-3)$

$⇒32-3x≥x+24$

$⇒8≥4x$

$⇒x≤2$

$⇒x∈(-∞, 2]$