WAEC Further Mathematics 2021 Paper

Concept:Solve the quadratic inequality by finding its roots and testing the sign of the expression.Explanation:Consider the corresponding equation:$$x^2 - 2x - 3 = 0$$Factorise the quadratic:$$(x - 3)(x + 1) = 0$$So the roots are:$$x = 3 \quad \text{or} \quad x = -1$$These roots divide the number line into three intervals.Test a value between the roots, say $x = 0$:$$0^2 - 2(0) - 3 = -3 \leq 0$$This satisfies the inequality.Therefore, the inequality holds for values of $x$ between the roots, inclusive:$$-1 \leq x \leq 3$$Hence, the solution set is $\{x : -1 \leq x \leq 3\}$.Answer:$\{x : -1 \leq x \leq 3\}$ (Option A).