BECE Mathematics 2022 Paper

Concept:Solving a linear inequality involves simplifying both sides and reversing the inequality sign when dividing by a negative number.Explanation:Start with $5x - (7x - 3) \leq 9$.Remove the brackets by distributing the negative sign: $5x - 7x + 3 \leq 9$.Combine like terms: $-2x + 3 \leq 9$.Subtract $3$ from both sides: $-2x \leq 6$.Divide both sides by $-2$, and reverse the inequality sign because dividing by a negative number: $x \geq -3$.Answer:$x \geq -3$, i.e., Option A.