Solve the Inequality for x -9(4+x)>-126

$- 9 (4 + x) > - 126$

Divide each term in $- 9 (4 + x) > - 126$ by $- 9$ and simplify.

Divide each term in $- 9 (4 + x) > - 126$ by $- 9$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 9 (4 + x)}{- 9} < \frac{- 126}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 (4 + x)}{- 9} < \frac{- 126}{- 9}$

Divide $4 + x$ by $1$ .

$4 + x < \frac{- 126}{- 9}$

Simplify the right side.

Divide $- 126$ by $- 9$ .

$4 + x < 14$

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

Subtract $4$ from both sides of the inequality.

$x < 14 - 4$

Subtract $4$ from $14$ .

$x < 10$

The result can be shown in multiple forms.

Inequality Form:

$x < 10$

Interval Notation:

$(- \infty, 10)$

Solve the Inequality for x -9(4+x)>-126

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