Pre-Algebra Examples

$- 8 < \frac{c}{- 2.5}$

Step 1

Multiply both sides by $- 2.5$ .

$- 8 \cdot - 2.5 > \frac{c}{- 2.5} \cdot - 2.5$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Multiply $- 8$ by $- 2.5$ .

$20 > \frac{c}{- 2.5} \cdot - 2.5$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Simplify $\frac{c}{- 2.5} \cdot - 2.5$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor of $2.5$ .

Tap for more steps...

Step 2.2.1.1.1

Factor $2.5$ out of $- 2.5$ .

$20 > \frac{c}{2.5 (- 1)} \cdot - 2.5$

Step 2.2.1.1.2

Factor $2.5$ out of $- 2.5$ .

$20 > \frac{c}{2.5 \cdot - 1} \cdot (2.5 \cdot - 1)$

Step 2.2.1.1.3

Cancel the common factor.

$20 > \frac{c}{2.5 \cdot - 1} \cdot (2.5 \cdot - 1)$

Step 2.2.1.1.4

Rewrite the expression.

$20 > \frac{c}{- 1} \cdot - 1$

Step 2.2.1.2

Combine $\frac{c}{- 1}$ and $- 1$ .

$20 > \frac{c \cdot - 1}{- 1}$

Step 2.2.1.3

Simplify the expression.

Tap for more steps...

Step 2.2.1.3.1

Move the negative one from the denominator of $\frac{c \cdot - 1}{- 1}$ .

$20 > - 1 \cdot (c \cdot - 1)$

Step 2.2.1.3.2

Rewrite $- 1 \cdot (c \cdot - 1)$ as $- (c \cdot - 1)$ .

$20 > - (c \cdot - 1)$

Step 2.2.1.3.3

Move $- 1$ to the left of $c$ .

$20 > - (- 1 \cdot c)$

Step 2.2.1.3.4

Rewrite $- 1 c$ as $- c$ .

$20 > - - c$

Step 2.2.1.4

Multiply $- - c$ .

Tap for more steps...

Step 2.2.1.4.1

Multiply $- 1$ by $- 1$ .

$20 > 1 c$

Step 2.2.1.4.2

Multiply $c$ by $1$ .

$20 > c$

Step 3

Rewrite so $c$ is on the left side of the inequality.

$c < 20$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$c < 20$

Interval Notation:

$(- \infty, 20)$