Question

name emery lowe
(alternate hw) date
scavengerhunt
work.

1. $-4(p - 6) \geq -(p - 6)$

Explanation:

Step1: Expand both sides

$$\begin{align*} -4(p - 6)&\geq-(p - 6)\\ -4p+24&\geq -p + 6 \end{align*}$$

Step2: Move terms with \(p\) to one side

Add \(4p\) to both sides:

$$\begin{align*} -4p + 24+4p&\geq -p+6 + 4p\\ 24&\geq 3p+6 \end{align*}$$

Step3: Isolate the term with \(p\)

Subtract \(6\) from both sides:

$$\begin{align*} 24-6&\geq 3p+6 - 6\\ 18&\geq 3p \end{align*}$$

Step4: Solve for \(p\)

Divide both sides by \(3\):

$$\begin{align*} \frac{18}{3}&\geq\frac{3p}{3}\\ 6&\geq p \end{align*}$$

Answer:

\(p\leq6\)