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प्रश्न
Solve the inequality.
6 ≤ –3(2x – 4) < 12
उत्तर
6 ≤ – 3(2x – 4) < 12
⇒ `6/3 ≤ -(2x - 4) < 12/3`
⇒ 2 ≤ –(2x – 4) < 4
⇒ –2 ≥ 2x – 4 > –4
⇒ 4 – 2 ≥ 2x > 4 – 4
⇒ 2 ≥ 2x > 0
⇒1 ≥ x > 0
Thus, the solution set for the given inequality is (0, 1].
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