If |3x - 5| ≤ 2 , then: - Mathematics MCQ Mathematics Mock Test - 2 2026 | ExamTest.live

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If ∣3 x - 5∣ \leq 2, then:

Solution & Step-by-step Explanation

The inequality ∣ x ∣ \leq a is equivalent to - a \leq x \leq a .Applying this to ∣3 x - 5∣ \leq 2 : - 2 \leq 3 x - 5 \leq 2 Add 5 to all sides: - 2 + 5 \leq 3 x \leq 2 + 5 3 \leq 3 x \leq 7 Divide by 3 : 1 \leq x \leq \frac{7}{3}

Try it yourself before checking the explanation above.

If ∣3 x - 5∣ \leq 2, then:

- 1 \leq x \leq \frac{7}{3}

1 \leq x \leq \frac{7}{3}

1 \leq x \leq \frac{9}{3}

- 1 \leq x \leq \frac{9}{3}

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