Solve for p -9<=3p-18<=3

$- 9 \leq 3 p - 18 \leq 3$

Step 1

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

Add $18$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 9 + 18 \leq 3 p \leq 3 + 18$

Add $- 9$ and $18$ .

$9 \leq 3 p \leq 3 + 18$

Add $3$ and $18$ .

$9 \leq 3 p \leq 21$

Step 2

Divide each term in the inequality by $3$ .

$\frac{9}{3} \leq \frac{3 p}{3} \leq \frac{21}{3}$

Step 3

Divide $9$ by $3$ .

$3 \leq \frac{3 p}{3} \leq \frac{21}{3}$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \leq \frac{3 p}{3} \leq \frac{21}{3}$

Divide $p$ by $1$ .

$3 \leq p \leq \frac{21}{3}$

Step 5

Divide $21$ by $3$ .

$3 \leq p \leq 7$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$3 \leq p \leq 7$

Interval Notation:

$[3, 7]$

Step 7