Solve the Inequality for c 22<-3c+4<14

$22 < - 3 c + 4 < 14$

Step 1

Move all terms not containing $c$ from the center section of the inequality.

Subtract $4$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$22 - 4 < - 3 c < 14 - 4$

Subtract $4$ from $22$ .

$18 < - 3 c < 14 - 4$

Subtract $4$ from $14$ .

$18 < - 3 c < 10$

Step 2

Divide each term in the inequality by $- 3$ .

$\frac{18}{- 3} > \frac{- 3 c}{- 3} > \frac{10}{- 3}$

Step 3

Divide $18$ by $- 3$ .

$- 6 > \frac{- 3 c}{- 3} > \frac{10}{- 3}$

Step 4

Cancel the common factor of $- 3$ .

Cancel the common factor.

$- 6 > \frac{- 3 c}{- 3} > \frac{10}{- 3}$

Divide $c$ by $1$ .

$- 6 > c > \frac{10}{- 3}$

Step 5

Move the negative in front of the fraction.

$- 6 > c > - \frac{10}{3}$

Step 6

Since the inequality can never be true, there is no solution.

False