Question

Choose the correct description of the graph of the compound inequality

x − 2 > −4 and 3x less than or equal to 15

A number line with an open circle on −2, shading to the left, and a closed circle on 5, shading to the right.

A number line with a closed circle on −2, shading to the left, and an open circle on 5, shading to the right.

A number line with an open circle on −2, a closed circle on 5, and shading in between.

A number line with a closed circle on −2, an open circle on 5, and shading in between.

Answer 1

The 3rd option since an open circle is used for describing < or > with inequalities and a closed circle for <= and >=. Since x>-2 and <= 5, there will be shading inbetween an open circle on -2 and a closed circle on 5.