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MATHEMATICS

JAMB 2011 - Question 19

Mathematics 2011 JAMB Past Questions - Question 19: Solve the inequalities -6(x+3) ≤ 4(x-2)

Solve the inequalities -6(x+3) ≤ 4(x-2)

A: x≤2

B: x ≥-1

C: x ≥-2

D: x≤1

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Correct Answer

Explanation

-6 (x+3) < 4 (x-2)-6x -18 < 4x - 8-18 + 8 < 4x + 6x-10 < 10x10x > -10x >> -10To solve the inequality -6(x + 3) ≤ 4(x - 2), we can simplify and solve for x:-6x - 18 ≤ 4x - 8To isolate the x terms, we can add 6x to both sides and add 8 to both sides:-6x + 6x - 18 + 8 ≤ 4x + 6x - 8 + 8Simplifying:-18 + 8 ≤ 10x-10 ≤ 10xTo solve for x, we divide both sides of the inequality by 10:-10/10 ≤ 10x/10-1 ≤ xTherefore, the solution to the inequality -6(x + 3) ≤ 4(x - 2) is x ≥ -1.