Solve the System of Inequalities -44>-2x-8>=-8

$- 44 > - 2 x - 8 \geq - 8$

Step 1

Solve $- 44 > - 2 x - 8$ for $x$ .

Rewrite so $x$ is on the left side of the inequality.

$- 2 x - 8 < - 44$

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

Add $8$ to both sides of the inequality.

$- 2 x < - 44 + 8$

Add $- 44$ and $8$ .

$- 2 x < - 36$

Divide each term in $- 2 x < - 36$ by $- 2$ and simplify.

Divide each term in $- 2 x < - 36$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{- 36}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{- 36}{- 2}$

Divide $x$ by $1$ .

$x > \frac{- 36}{- 2}$

Simplify the right side.

Divide $- 36$ by $- 2$ .

$x > 18$

Step 2

Solve $- 2 x - 8 \geq - 8$ for $x$ .

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

Add $8$ to both sides of the inequality.

$- 2 x \geq - 8 + 8$

Add $- 8$ and $8$ .

$- 2 x \geq 0$

Divide each term in $- 2 x \geq 0$ by $- 2$ and simplify.

Divide each term in $- 2 x \geq 0$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} \leq \frac{0}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} \leq \frac{0}{- 2}$

Divide $x$ by $1$ .

$x \leq \frac{0}{- 2}$

Simplify the right side.

Divide $0$ by $- 2$ .

$x \leq 0$

Step 3

Find the intersection of $x > 18$ and $x \leq 0$ .

No solution

Solve the System of Inequalities -44>-2x-8>=-8

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