Solve the Inequality for p -35<=15+10p<=25

$- 35 \leq 15 + 10 p \leq 25$

Step 1

Move all terms not containing $p$ from the center section of the inequality.

Subtract $15$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$- 35 - 15 \leq 10 p \leq 25 - 15$

Subtract $15$ from $- 35$ .

$- 50 \leq 10 p \leq 25 - 15$

Subtract $15$ from $25$ .

$- 50 \leq 10 p \leq 10$

Step 2

Divide each term in the inequality by $10$ .

$\frac{- 50}{10} \leq \frac{10 p}{10} \leq \frac{10}{10}$

Step 3

Divide $- 50$ by $10$ .

$- 5 \leq \frac{10 p}{10} \leq \frac{10}{10}$

Step 4

Cancel the common factor of $10$ .

Cancel the common factor.

$- 5 \leq \frac{10 p}{10} \leq \frac{10}{10}$

Divide $p$ by $1$ .

$- 5 \leq p \leq \frac{10}{10}$

Step 5

Divide $10$ by $10$ .

$- 5 \leq p \leq 1$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$- 5 \leq p \leq 1$

Interval Notation:

$[- 5, 1]$

Step 7