# Solve for x, the inequality given below. 4x+1≤3≤6x+1, (x > 0) - Mathematics

Sum

Solve for x, the inequality given below.

4/(x + 1) ≤ 3 ≤ 6/(x + 1), (x > 0)

#### Solution

4/(x + 1) ≤ 3 ≤ 6/(x + 1)

Multiplying each term by (x + 1),

⇒ 4 ≤ 3(x + 1) ≤ 6

⇒ 4 ≤ 3x + 3 ≤ 6

Subtracting each term by 3, we get,

⇒ 1 ≤ 3x ≤ 3

Dividing each term by 3, we get,

⇒ (1/3) ≤ x ≤ 1

Concept: Inequalities - Introduction
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 6 Linear Inequalities
Exercise | Q 1 | Page 107
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