Question

Which graph shows the solution to the inequality –0.5x ≤ 7.5?

A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.
A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.
A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.
A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.

Answer 1

Solve: −0.5x ≤ 7.5. Multiply both sides by −2 (flip inequality): x ≥ −15.

So the graph has a closed circle at −15 and is shaded to the right. That corresponds to the first option.