Question 2 Solve the inequality 6 ≤ –3(2x – 4) < 12
Class X1 - Maths -Linear Inequalities Page 132
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6 ≤ -3(2x - 4) < 12
6 ≤ -6x + 12 < 12
subtract 12 from all sides,
6 -12 ≤ -6x +12 -12 < 12-12
-6 ≤ -6x < 0
divide by (-6) to each term , sign of inequality will be change .
(-6)/(-6) ≥ (-6x)/(-6) > 0/(-6)
1 ≥ x > 0 or, 0 < x ≤ 1 or x€ (0, 1]
6 ≤ -6x + 12 < 12
subtract 12 from all sides,
6 -12 ≤ -6x +12 -12 < 12-12
-6 ≤ -6x < 0
divide by (-6) to each term , sign of inequality will be change .
(-6)/(-6) ≥ (-6x)/(-6) > 0/(-6)
1 ≥ x > 0 or, 0 < x ≤ 1 or x€ (0, 1]
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