Solve for m 9>=-2m+2-3

$9 \geq - 2 m + 2 - 3$

Step 1

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

$- 2 m + 2 - 3 \leq 9$

Step 2

Subtract $3$ from $2$ .

$- 2 m - 1 \leq 9$

Step 3

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

Add $1$ to both sides of the inequality.

$- 2 m \leq 9 + 1$

Add $9$ and $1$ .

$- 2 m \leq 10$

Step 4

Divide each term in $- 2 m \leq 10$ by $- 2$ and simplify.

Divide each term in $- 2 m \leq 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 m}{- 2} \geq \frac{10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 m}{- 2} \geq \frac{10}{- 2}$

Divide $m$ by $1$ .

$m \geq \frac{10}{- 2}$

Simplify the right side.

Divide $10$ by $- 2$ .

$m \geq - 5$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$m \geq - 5$

Interval Notation:

$[- 5, \infty)$

Solve for m 9>=-2m+2-3

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