Question

I HAVE A DEADLINE

Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? Group of answer choices 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 3 to 13. An open circle is at 8. Everything to the left 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 right of the circle is shaded.

Answer 1

To solve the inequality -½p < -16, we divide both sides by -½ and reverse the inequality sign, resulting in p > 32. The correct graph is a number line from 27 to 37 with an open circle at 32 and shading to the right of the circle.

Step-by-step explanation:

To solve the inequality negative one-half p less than negative 16, we can start by writing it in a more standardized mathematical notation: -½p < -16. Now, we'll solve for p by isolating it on one side of the inequality.

To do this, we need to divide both sides by -½. Remember that dividing by a negative number reverses the inequality sign.

Dividing both sides by -½ gives us: p > 32.

So, the solutions to the inequality are all values of p that are greater than 32. This means that on a number line, we'll have an open circle at 32 with the shading to the right, indicating all the values greater than 32.

Therefore, the graph that shows the correct solution is a number line going from 27 to 37, with an open circle at 32 and everything to the right of the circle shaded.