Algebra Examples

$- \frac{7}{8} \leq m - \frac{13}{8}$

Step 1

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

$m - \frac{13}{8} \geq - \frac{7}{8}$

Step 2

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

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Step 2.1

Add $\frac{13}{8}$ to both sides of the inequality.

$m \geq - \frac{7}{8} + \frac{13}{8}$

Step 2.2

Combine the numerators over the common denominator.

$m \geq \frac{- 7 + 13}{8}$

Step 2.3

Add $- 7$ and $13$ .

$m \geq \frac{6}{8}$

Step 2.4

Cancel the common factor of $6$ and $8$ .

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Step 2.4.1

Factor $2$ out of $6$ .

$m \geq \frac{2 (3)}{8}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $2$ out of $8$ .

$m \geq \frac{2 \cdot 3}{2 \cdot 4}$

Step 2.4.2.2

Cancel the common factor.

$m \geq \frac{2 \cdot 3}{2 \cdot 4}$

Step 2.4.2.3

Rewrite the expression.

$m \geq \frac{3}{4}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$m \geq \frac{3}{4}$

Interval Notation:

$[\frac{3}{4}, \infty)$