Solve for p 4p-5<=25

$4 p - 5 \leq 25$

Step 1

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

Add $5$ to both sides of the inequality.

$4 p \leq 25 + 5$

Add $25$ and $5$ .

$4 p \leq 30$

Step 2

Divide each term in $4 p \leq 30$ by $4$ and simplify.

Divide each term in $4 p \leq 30$ by $4$ .

$\frac{4 p}{4} \leq \frac{30}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 p}{4} \leq \frac{30}{4}$

Divide $p$ by $1$ .

$p \leq \frac{30}{4}$

Simplify the right side.

Cancel the common factor of $30$ and $4$ .

Factor $2$ out of $30$ .

$p \leq \frac{2 (15)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$p \leq \frac{2 \cdot 15}{2 \cdot 2}$

Cancel the common factor.

$p \leq \frac{2 \cdot 15}{2 \cdot 2}$

Rewrite the expression.

$p \leq \frac{15}{2}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$p \leq \frac{15}{2}$

Interval Notation:

$(- \infty, \frac{15}{2}]$