Pre-Algebra Examples

$- 16 \leq 2 x - 6 \leq - 6$

Step 1

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

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Step 1.1

Add $6$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 16 + 6 \leq 2 x \leq - 6 + 6$

Step 1.2

Add $- 16$ and $6$ .

$- 10 \leq 2 x \leq - 6 + 6$

Step 1.3

Add $- 6$ and $6$ .

$- 10 \leq 2 x \leq 0$

Step 2

Divide each term in the inequality by $2$ .

$\frac{- 10}{2} \leq \frac{2 x}{2} \leq \frac{0}{2}$

Step 3

Divide $- 10$ by $2$ .

$- 5 \leq \frac{2 x}{2} \leq \frac{0}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$- 5 \leq \frac{2 x}{2} \leq \frac{0}{2}$

Step 4.2

Divide $x$ by $1$ .

$- 5 \leq x \leq \frac{0}{2}$

Step 5

Divide $0$ by $2$ .

$- 5 \leq x \leq 0$

Step 6