Solve the Inequality for p -5p>-30

$- 5 p > - 30$

Step 1

Divide each term in $- 5 p > - 30$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 p}{- 5} < \frac{- 30}{- 5}$

Step 2

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 p}{- 5} < \frac{- 30}{- 5}$

Divide $p$ by $1$ .

$p < \frac{- 30}{- 5}$

Step 3

Simplify the right side.

Divide $- 30$ by $- 5$ .

$p < 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$p < 6$

Interval Notation:

$(- \infty, 6)$

Solve the Inequality for p -5p>-30

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