BECE Mathematics 2025 Paper

Concept:On a number line, a solid (shaded) dot means the number is included ($\le$ or $\ge$); an open circle means it is not ($<$ or $>$). The arrow shows the direction of the other values.Solution:The dot is at $3$ and it is solid, so $3$ is included.The arrow points to the left, towards $2, 1, 0, -1, \dots$, so $x$ takes values less than $3$.Inequality: $x \le 3$.Key point: The old key gave $x \ge 2$, but the dot is at $3$ and the arrow points left. Read where the dot is and which way the arrow goes.Answer:Option B ($x \le 3$)