Algebra Examples

$- 2 (x + 2) < 14$

Step 1

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

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Step 1.1

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.

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 2$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

Divide $x + 2$ by $1$ .

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

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $14$ by $- 2$ .

$x + 2 > - 7$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the inequality.

$x > - 7 - 2$

Step 2.2

Subtract $2$ from $- 7$ .

$x > - 9$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 9$

Interval Notation:

$(- 9, \infty)$