Evaluate -2(x+2)<14

$- 2 (x + 2) < 14$

Step 1

Divide each term in $- 2 (x + 2) < 14$ by $- 2$ and simplify.

Divide each term in $- 2 (x + 2) < 14$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 (x + 2)}{- 2} > \frac{14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 (x + 2)}{- 2} > \frac{14}{- 2}$

Divide $x + 2$ by $1$ .

$x + 2 > \frac{14}{- 2}$

Simplify the right side.

Divide $14$ by $- 2$ .

$x + 2 > - 7$

Step 2

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

Subtract $2$ from both sides of the inequality.

$x > - 7 - 2$

Subtract $2$ from $- 7$ .

$x > - 9$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 9$

Interval Notation:

$(- 9, \infty)$

Evaluate -2(x+2)<14

Related Questions

Support LCMGCF.com by disabling your adblocker.