Algebra Examples

$- 2 \leq 2 x - 4 < 4$

Step 1

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

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Step 1.1

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

$- 2 + 4 \leq 2 x < 4 + 4$

Step 1.2

Add $- 2$ and $4$ .

$2 \leq 2 x < 4 + 4$

Step 1.3

Add $4$ and $4$ .

$2 \leq 2 x < 8$

Step 2

Divide each term in the inequality by $2$ .

$\frac{2}{2} \leq \frac{2 x}{2} < \frac{8}{2}$

Step 3

Divide $2$ by $2$ .

$1 \leq \frac{2 x}{2} < \frac{8}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$1 \leq \frac{2 x}{2} < \frac{8}{2}$

Step 4.2

Divide $x$ by $1$ .

$1 \leq x < \frac{8}{2}$

Step 5

Divide $8$ by $2$ .

$1 \leq x < 4$

Step 6