WAEC Mathematics 2018 Paper

Concept:Solving a linear inequality is done like a linear equation, but the inequality sign reverses when both sides are divided by a negative number.Explanation:Start with the given inequality:$$x + 2 \ge 2x + 1$$Bring the $x$-terms to one side by subtracting $2x$ from both sides:$$x - 2x + 2 \ge 1$$$$-x + 2 \ge 1$$Subtract $2$ from both sides:$$-x \ge -1$$Divide both sides by $-1$. Since we divide by a negative number, reverse the inequality sign:$$x \le 1$$So the solution set is all real numbers less than or equal to $1$.On a number line, this is shown with a closed circle at $1$ and an arrow pointing to the left.Answer:The correct illustration is the number line representing $x \le 1$.