Questions: Question 3(Multiple Choice Worth 2 points) (Evaluating Equations MC) Determine which answer in the solution set will make the equation true. 2 p+9=4 p-13 S:-11,0,11,22 -11 0 11 22

Solution Steps

We start with the equation: $$2p + 9 = 4p - 13$$

Subtract $2p$ from both sides to isolate the terms involving $p$: $$9 = 2p - 13$$

Add $13$ to both sides to isolate the term with $p$: $$22 = 2p$$

Divide both sides by $2$ to solve for $p$: $$p = 11$$

The solution set $S$ is given as $\{-11, 0, 11, 22\}$. From the calculation above, we find that $p = 11$ is the solution that satisfies the equation.

Final Answer