Solve the Inequality for P 8P+2>3P-15

$8 P + 2 > 3 P - 15$

Move all terms containing $P$ to the left side of the inequality.

Subtract $3 P$ from both sides of the inequality.

$8 P + 2 - 3 P > - 15$

Subtract $3 P$ from $8 P$ .

$5 P + 2 > - 15$

Move all terms not containing $P$ to the right side of the inequality.

Subtract $2$ from both sides of the inequality.

$5 P > - 15 - 2$

Subtract $2$ from $- 15$ .

$5 P > - 17$

Divide each term in $5 P > - 17$ by $5$ and simplify.

Divide each term in $5 P > - 17$ by $5$ .

$\frac{5 P}{5} > \frac{- 17}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 P}{5} > \frac{- 17}{5}$

Divide $P$ by $1$ .

$P > \frac{- 17}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$P > - \frac{17}{5}$

The result can be shown in multiple forms.

Inequality Form:

$P > - \frac{17}{5}$

Interval Notation:

$(- \frac{17}{5}, \infty)$