BECE Mathematics 2013 Paper

Concept:A number line graph uses a solid dot to include the endpoint and an arrow to show the direction of all possible values of $x$.Explanation:The circle on the number line is placed at $-2$ and it is solid/shaded.A solid circle means that $-2$ is included in the solution.The arrow points to the left, so the inequality shows numbers less than $-2$.Combining these two facts, the possible values are all numbers less than or equal to $-2$.Therefore, the expression illustrated is $x \leq -2$.Answer:The correct option is A. $x \leq -2$.