Question

solve the inequality and graph the solution.
-7 + 2p ≥ 9
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
(number line from -10 to 10 with ticks at each integer, and a submit button on the left)

Explanation:

Step1: Add 7 to both sides

To isolate the term with \( p \), we add 7 to both sides of the inequality \( -7 + 2p \geq 9 \). This gives us \( -7 + 7 + 2p \geq 9 + 7 \), which simplifies to \( 2p \geq 16 \).

Step2: Divide by 2

To solve for \( p \), we divide both sides of the inequality \( 2p \geq 16 \) by 2. This gives \( \frac{2p}{2} \geq \frac{16}{2} \), so \( p \geq 8 \).

Answer:

The solution to the inequality is \( p \geq 8 \). To graph this, plot a closed dot at 8 on the number line and draw an arrow pointing to the right (towards positive infinity) to represent all values of \( p \) that are greater than or equal to 8.