Question:medium

Solve the inequality 2 ≤ 3x – 4 ≤ 5

Updated On: Jan 23, 2026
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Solution and Explanation

Given Inequality:

\( 2 \le 3x - 4 \le 5 \)


Step 1: Add 4 to all parts

\( 6 \le 3x \le 9 \)


Step 2: Divide all parts by 3

\( 2 \le x \le 3 \)


Graphical Representation on Number Line:

Closed circles at 2 and 3,
with the region between 2 and 3 shaded.


Final Answer:

The solution set is
{ x ∣ 2 ≤ x ≤ 3 }

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