Algebra Examples

$7 m + 6 m \geq 8 m - 15$

Step 1

Add $7 m$ and $6 m$ .

$13 m \geq 8 m - 15$

Step 2

Move all terms containing $m$ to the left side of the inequality.

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Step 2.1

Subtract $8 m$ from both sides of the inequality.

$13 m - 8 m \geq - 15$

Step 2.2

Subtract $8 m$ from $13 m$ .

$5 m \geq - 15$

Step 3

Divide each term in $5 m \geq - 15$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 m \geq - 15$ by $5$ .

$\frac{5 m}{5} \geq \frac{- 15}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 m}{5} \geq \frac{- 15}{5}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m \geq \frac{- 15}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 15$ by $5$ .

$m \geq - 3$

Step 4

Convert the inequality to interval notation.

$[- 3, \infty)$

Step 5