Algebra Examples

$- p - 4 p > - 10$

Step 1

Subtract $4 p$ from $- p$ .

$- 5 p > - 10$

Step 2

Divide each term in $- 5 p > - 10$ by $- 5$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- 5 p > - 10$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 p}{- 5} < \frac{- 10}{- 5}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $- 5$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 p}{- 5} < \frac{- 10}{- 5}$

Step 2.2.1.2

Divide $p$ by $1$ .

$p < \frac{- 10}{- 5}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Divide $- 10$ by $- 5$ .

$p < 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$p < 2$

Interval Notation:

$(- \infty, 2)$