Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The solution of the inequality $5-2x ≥ 13- 6x, x \in R$

Options:

$[2, ∞)$

$(2, ∞)$

$\left[-\frac{2}{5}, ∞\right)$

$\left(-∞, -\frac{2}{5}\right]$

Correct Answer:

$[2, ∞)$

Explanation:

The correct answer is Option (1) → $[2, ∞)$

$5-2x ≥ 13- 6x$  [Given]

$⇒6x-2x≥ 13-5$

$⇒4x≥8$

$⇒x≥2$

$⇒x∈[2, ∞)$