Solve the Inequality for m -(2+2m)-2>6

$- (2 + 2 m) - 2 > 6$

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

Simplify each term.

Apply the distributive property.

$- 1 \cdot 2 - (2 m) - 2 > 6$

Multiply $- 1$ by $2$ .

$- 2 - (2 m) - 2 > 6$

Multiply $2$ by $- 1$ .

$- 2 - 2 m - 2 > 6$

Subtract $2$ from $- 2$ .

$- 2 m - 4 > 6$

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

Add $4$ to both sides of the inequality.

$- 2 m > 6 + 4$

Add $6$ and $4$ .

$- 2 m > 10$

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $m$ by $1$ .

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

Simplify the right side.

Divide $10$ by $- 2$ .

$m < - 5$

The result can be shown in multiple forms.

Inequality Form:

$m < - 5$

Interval Notation:

$(- \infty, - 5)$

Solve the Inequality for m -(2+2m)-2>6

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