Solve for m 2(-3m-5)>=-28

$2 (- 3 m - 5) \geq - 28$

Step 1

Divide each term in $2 (- 3 m - 5) \geq - 28$ by $2$ and simplify.

Divide each term in $2 (- 3 m - 5) \geq - 28$ by $2$ .

$\frac{2 (- 3 m - 5)}{2} \geq \frac{- 28}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (- 3 m - 5)}{2} \geq \frac{- 28}{2}$

Divide $- 3 m - 5$ by $1$ .

$- 3 m - 5 \geq \frac{- 28}{2}$

Simplify the right side.

Divide $- 28$ by $2$ .

$- 3 m - 5 \geq - 14$

Step 2

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

Add $5$ to both sides of the inequality.

$- 3 m \geq - 14 + 5$

Add $- 14$ and $5$ .

$- 3 m \geq - 9$

Step 3

Divide each term in $- 3 m \geq - 9$ by $- 3$ and simplify.

Divide each term in $- 3 m \geq - 9$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 m}{- 3} \leq \frac{- 9}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 m}{- 3} \leq \frac{- 9}{- 3}$

Divide $m$ by $1$ .

$m \leq \frac{- 9}{- 3}$

Simplify the right side.

Divide $- 9$ by $- 3$ .

$m \leq 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m \leq 3$

Interval Notation:

$(- \infty, 3]$

Solve for m 2(-3m-5)>=-28

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