Solve the Inequality for c -15c+6>4+5c

$- 15 c + 6 > 4 + 5 c$

Move all terms containing $c$ to the left side of the inequality.

Subtract $5 c$ from both sides of the inequality.

$- 15 c + 6 - 5 c > 4$

Subtract $5 c$ from $- 15 c$ .

$- 20 c + 6 > 4$

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

Subtract $6$ from both sides of the inequality.

$- 20 c > 4 - 6$

Subtract $6$ from $4$ .

$- 20 c > - 2$

Divide each term in $- 20 c > - 2$ by $- 20$ and simplify.

Divide each term in $- 20 c > - 2$ by $- 20$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 20 c}{- 20} < \frac{- 2}{- 20}$

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

$\frac{- 20 c}{- 20} < \frac{- 2}{- 20}$

Divide $c$ by $1$ .

$c < \frac{- 2}{- 20}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 20$ .

Factor $- 2$ out of $- 2$ .

$c < \frac{- 2 (1)}{- 20}$

Cancel the common factors.

Factor $- 2$ out of $- 20$ .

$c < \frac{- 2 \cdot 1}{- 2 \cdot 10}$

Cancel the common factor.

$c < \frac{- 2 \cdot 1}{- 2 \cdot 10}$

Rewrite the expression.

$c < \frac{1}{10}$

The result can be shown in multiple forms.

Inequality Form:

$c < \frac{1}{10}$

Interval Notation:

$(- \infty, \frac{1}{10})$

Solve the Inequality for c -15c+6>4+5c

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