Solve the Inequality for x -5(x-9)+12>-6

$- 5 (x - 9) + 12 > - 6$

Simplify $- 5 (x - 9) + 12$ .

Simplify each term.

Apply the distributive property.

$- 5 x - 5 \cdot - 9 + 12 > - 6$

Multiply $- 5$ by $- 9$ .

$- 5 x + 45 + 12 > - 6$

Add $45$ and $12$ .

$- 5 x + 57 > - 6$

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

Subtract $57$ from both sides of the inequality.

$- 5 x > - 6 - 57$

Subtract $57$ from $- 6$ .

$- 5 x > - 63$

Divide each term in $- 5 x > - 63$ by $- 5$ and simplify.

Divide each term in $- 5 x > - 63$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} < \frac{- 63}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} < \frac{- 63}{- 5}$

Divide $x$ by $1$ .

$x < \frac{- 63}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x < \frac{63}{5}$

The result can be shown in multiple forms.

Inequality Form:

$x < \frac{63}{5}$

Interval Notation:

$(- \infty, \frac{63}{5})$

Solve the Inequality for x -5(x-9)+12>-6

Related Questions

Support LCMGCF.com by disabling your adblocker.