WAEC Mathematics 2010 Paper

Concept:Solving a linear inequality is like solving an equation, but the inequality sign reverses when both sides are divided or multiplied by a negative number.Explanation:Expand the left side: $3(x+1) = 3x + 3$Expand the right side: $5(x+2) + 15 = 5x + 10 + 15 = 5x + 25$So the inequality becomes: $3x + 3 \le 5x + 25$Subtract $5x$ from both sides: $3x - 5x + 3 \le 25$Simplify: $-2x + 3 \le 25$Subtract $3$ from both sides: $-2x \le 22$Divide both sides by $-2$ and reverse the inequality sign: $x \ge -11$Answer:$x \ge -11$, which is option C.