Solve for p 5p-3>=-4p-7

$5 p - 3 \geq - 4 p - 7$

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

Add $4 p$ to both sides of the inequality.

$5 p - 3 + 4 p \geq - 7$

Add $5 p$ and $4 p$ .

$9 p - 3 \geq - 7$

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

Add $3$ to both sides of the inequality.

$9 p \geq - 7 + 3$

Add $- 7$ and $3$ .

$9 p \geq - 4$

Divide each term in $9 p \geq - 4$ by $9$ and simplify.

Divide each term in $9 p \geq - 4$ by $9$ .

$\frac{9 p}{9} \geq \frac{- 4}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 p}{9} \geq \frac{- 4}{9}$

Divide $p$ by $1$ .

$p \geq \frac{- 4}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$p \geq - \frac{4}{9}$

The result can be shown in multiple forms.

Inequality Form:

$p \geq - \frac{4}{9}$

Interval Notation:

$[- \frac{4}{9}, \infty)$