Solve the inequality 2 ≤ 3x – 4 ≤ 5

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Solution

2 ≤ 3x – 4 ≤ 5

⇒ 2 + 4 ≤ 3x – 4 + 4 ≤ 5 + 4

⇒ 6 ≤ 3x ≤ 9

⇒ 2 ≤ x ≤ 3

Thus, all the real numbers, x, which are greater than or equal to 2 but less than or equal to 3, are the solutions of the given inequality. The solution set for the given inequalityis [2, 3].

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\frac{3 (x - 2)}{5} \leq \frac{5 (2 - x)}{3}

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$2 \leq 3 x - 4 \leq 5$

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