Solve the Inequality for c -(7c-18)-2c>0

$- (7 c - 18) - 2 c > 0$

Step 1

Simplify $- (7 c - 18) - 2 c$ .

Simplify each term.

Apply the distributive property.

$- (7 c) - - 18 - 2 c > 0$

Multiply $7$ by $- 1$ .

$- 7 c - - 18 - 2 c > 0$

Multiply $- 1$ by $- 18$ .

$- 7 c + 18 - 2 c > 0$

Subtract $2 c$ from $- 7 c$ .

$- 9 c + 18 > 0$

Step 2

Subtract $18$ from both sides of the inequality.

$- 9 c > - 18$

Step 3

Divide each term in $- 9 c > - 18$ by $- 9$ and simplify.

Divide each term in $- 9 c > - 18$ by $- 9$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 9 c}{- 9} < \frac{- 18}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 c}{- 9} < \frac{- 18}{- 9}$

Divide $c$ by $1$ .

$c < \frac{- 18}{- 9}$

Simplify the right side.

Divide $- 18$ by $- 9$ .

$c < 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$c < 2$

Interval Notation:

$(- \infty, 2)$

Solve the Inequality for c -(7c-18)-2c>0

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