Algebra Examples

$88 > - 2 (4 - 2 m) + 8 m$

Step 1

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

$- 2 (4 - 2 m) + 8 m < 88$

Step 2

Simplify $- 2 (4 - 2 m) + 8 m$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$- 2 \cdot 4 - 2 (- 2 m) + 8 m < 88$

Step 2.1.2

Multiply $- 2$ by $4$ .

$- 8 - 2 (- 2 m) + 8 m < 88$

Step 2.1.3

Multiply $- 2$ by $- 2$ .

$- 8 + 4 m + 8 m < 88$

Step 2.2

Add $4 m$ and $8 m$ .

$- 8 + 12 m < 88$

Step 3

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

Tap for more steps...

Step 3.1

Add $8$ to both sides of the inequality.

$12 m < 88 + 8$

Step 3.2

Add $88$ and $8$ .

$12 m < 96$

Step 4

Divide each term in $12 m < 96$ by $12$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $12 m < 96$ by $12$ .

$\frac{12 m}{12} < \frac{96}{12}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $12$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{12 m}{12} < \frac{96}{12}$

Step 4.2.1.2

Divide $m$ by $1$ .

$m < \frac{96}{12}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $96$ by $12$ .

$m < 8$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$m < 8$

Interval Notation:

$(- \infty, 8)$