Solve the Inequality for c 8c-6<=-5c-3

$8 c - 6 \leq - 5 c - 3$

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

Add $5 c$ to both sides of the inequality.

$8 c - 6 + 5 c \leq - 3$

Add $8 c$ and $5 c$ .

$13 c - 6 \leq - 3$

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

Add $6$ to both sides of the inequality.

$13 c \leq - 3 + 6$

Add $- 3$ and $6$ .

$13 c \leq 3$

Divide each term in $13 c \leq 3$ by $13$ and simplify.

Divide each term in $13 c \leq 3$ by $13$ .

$\frac{13 c}{13} \leq \frac{3}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 c}{13} \leq \frac{3}{13}$

Divide $c$ by $1$ .

$c \leq \frac{3}{13}$

The result can be shown in multiple forms.

Inequality Form:

$c \leq \frac{3}{13}$

Interval Notation:

$(- \infty, \frac{3}{13}]$