Solve the Inequality for c 5c-20<=15c+10

$5 c - 20 \leq 15 c + 10$

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

Subtract $15 c$ from both sides of the inequality.

$5 c - 20 - 15 c \leq 10$

Subtract $15 c$ from $5 c$ .

$- 10 c - 20 \leq 10$

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

Add $20$ to both sides of the inequality.

$- 10 c \leq 10 + 20$

Add $10$ and $20$ .

$- 10 c \leq 30$

Divide each term in $- 10 c \leq 30$ by $- 10$ and simplify.

Divide each term in $- 10 c \leq 30$ by $- 10$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 10 c}{- 10} \geq \frac{30}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 c}{- 10} \geq \frac{30}{- 10}$

Divide $c$ by $1$ .

$c \geq \frac{30}{- 10}$

Simplify the right side.

Divide $30$ by $- 10$ .

$c \geq - 3$

The result can be shown in multiple forms.

Inequality Form:

$c \geq - 3$

Interval Notation:

$[- 3, \infty)$

Solve the Inequality for c 5c-20<=15c+10

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