JAMB Mathematics 2013 Paper

Concept:Solving a linear inequality by expanding and isolating $x$, remembering to reverse the inequality sign when dividing by a negative number.Explanation:Start with the given inequality:$3(x + 2) > 6(x + 3)$Expand both sides:$3x + 6 > 6x + 18$Collect like terms by subtracting $6x$ and $6$ from both sides:$3x - 6x > 18 - 6$$-3x > 12$Divide both sides by $-3$. Since we divide by a negative number, reverse the inequality sign:$x < -4$Answer:$x < -4$ (Option C).