Question

Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded. A number line going from 27 to 37. An open circle is at 32. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded.

Answer 1

A on edge 2023

Explanation:

Answer 2

An open circle at 32 and everything to the right of the circle is shaded.

Explanation:

`-\frac12p < -16`

Divide both sides by -1 (remembering to reverse the sign):

`\implies \frac12p > 16`

`\implies p > 32`

Open circle: < or >

Closed circle: ≤ or ≥

Therefore, open circle at 32 and everything to the right of the circle is shaded.