Solve for p 2p-4<-3p-7

$2 p - 4 < - 3 p - 7$

Step 1

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

Add $3 p$ to both sides of the inequality.

$2 p - 4 + 3 p < - 7$

Add $2 p$ and $3 p$ .

$5 p - 4 < - 7$

Step 2

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

Add $4$ to both sides of the inequality.

$5 p < - 7 + 4$

Add $- 7$ and $4$ .

$5 p < - 3$

Step 3

Divide each term in $5 p < - 3$ by $5$ and simplify.

Divide each term in $5 p < - 3$ by $5$ .

$\frac{5 p}{5} < \frac{- 3}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 p}{5} < \frac{- 3}{5}$

Divide $p$ by $1$ .

$p < \frac{- 3}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$p < - \frac{3}{5}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p < - \frac{3}{5}$

Interval Notation:

$(- \infty, - \frac{3}{5})$