Solve for p 4p+7-p<31

$4 p + 7 - p < 31$

Step 1

Subtract $p$ from $4 p$ .

$3 p + 7 < 31$

Step 2

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

Subtract $7$ from both sides of the inequality.

$3 p < 31 - 7$

Subtract $7$ from $31$ .

$3 p < 24$

Step 3

Divide each term in $3 p < 24$ by $3$ and simplify.

Divide each term in $3 p < 24$ by $3$ .

$\frac{3 p}{3} < \frac{24}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 p}{3} < \frac{24}{3}$

Divide $p$ by $1$ .

$p < \frac{24}{3}$

Simplify the right side.

Divide $24$ by $3$ .

$p < 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p < 8$

Interval Notation:

$(- \infty, 8)$