Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

$\frac{2x_3}{4}+8≥2+\frac{4x}{3}$

Options:

$(-∞, 4.3]$

$(-∞, 7.3]$

$(-∞, 6.3]$

$(-∞, 5.3]$

Correct Answer:

$(-∞, 6.3]$

Explanation:

The correct answer is option (3) : $(-∞, 6.3]$

$\frac{2x_3}{4}+8≥2+\frac{4x}{3}$

Multiplying by 12 (LCM of 4, 3) both the sides

$3(2x-3)+96≥24+16x$

$6x-16x≥24-87$

$-10x≥-63$

$x≤6.3$

∴ Solution set is $(-∞, 6.3]$