If $-5 ≤ \frac{2-3x}{4} &le

CUET Preparation Today

Start Free Mocks

Home Questions CWBUYAWJ94

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $-5 ≤ \frac{2-3x}{4} ≤ 9$, then x belongs to the interval

Options:

(-∞, 22/3]

[-34/3, 22/3]

[22/3, ∞)

(-∞, -34/3]

Correct Answer:

[-34/3, 22/3]

Explanation:

We have,

$-5 ≤ \frac{2-3x}{4} ≤ 9$

$⇒-20≤2-3x≤36$

$⇒-22≤-3x≤34$

$⇒-34≤3x≤22$

$⇒-34≤3x≤22⇒-\frac{34}{3}≤x≤\frac{22}{3}⇒x∈[-34/3, 22/3]$