Graph 55>=5x+5>-25

$55 \geq 5 x + 5 > - 25$

Step 1

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

Subtract $5$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$55 - 5 \geq 5 x > - 25 - 5$

Subtract $5$ from $55$ .

$50 \geq 5 x > - 25 - 5$

Subtract $5$ from $- 25$ .

$50 \geq 5 x > - 30$

Step 2

Divide each term in the inequality by $5$ .

$\frac{50}{5} \geq \frac{5 x}{5} > \frac{- 30}{5}$

Step 3

Divide $50$ by $5$ .

$10 \geq \frac{5 x}{5} > \frac{- 30}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$10 \geq \frac{5 x}{5} > \frac{- 30}{5}$

Divide $x$ by $1$ .

$10 \geq x > \frac{- 30}{5}$

Step 5

Divide $- 30$ by $5$ .

$10 \geq x > - 6$

Step 6

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

$- 6 < x \leq 10$

Step 7