Algebra Examples

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

Step 1

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

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Add $8$ to each section of the inequality because it does not contain the variable we are trying to solve for.

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

Add $- 44$ and $8$ .

$- 36 > - 2 x \geq - 8 + 8$

Add $- 8$ and $8$ .

$- 36 > - 2 x \geq 0$

Step 2

Divide each term in the inequality by $- 2$ .

$\frac{- 36}{- 2} < \frac{- 2 x}{- 2} \leq \frac{0}{- 2}$

Step 3

Divide $- 36$ by $- 2$ .

$18 < \frac{- 2 x}{- 2} \leq \frac{0}{- 2}$

Step 4

Cancel the common factor of $- 2$ .

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Cancel the common factor.

$18 < \frac{- 2 x}{- 2} \leq \frac{0}{- 2}$

Divide $x$ by $1$ .

$18 < x \leq \frac{0}{- 2}$

Step 5

Divide $0$ by $- 2$ .

$18 < x \leq 0$

Step 6

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

False