Algebra Examples

$8 > 4 - x > 6$

Step 1

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

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Step 1.1

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

$8 - 4 > - x > 6 - 4$

Step 1.2

Subtract $4$ from $8$ .

$4 > - x > 6 - 4$

Step 1.3

Subtract $4$ from $6$ .

$4 > - x > 2$

Step 2

Multiply each term in the inequality by $- 1$ .

$\frac{4}{- 1} < \frac{- x}{- 1} < \frac{2}{- 1}$

Step 3

Divide $4$ by $- 1$ .

$- 4 < \frac{- x}{- 1} < \frac{2}{- 1}$

Step 4

Dividing two negative values results in a positive value.

$- 4 < \frac{x}{1} < \frac{2}{- 1}$

Step 5

Divide $x$ by $1$ .

$- 4 < x < \frac{2}{- 1}$

Step 6

Divide $2$ by $- 1$ .

$- 4 < x < - 2$

Step 7

The result can be shown in multiple forms.

Inequality Form:

$- 4 < x < - 2$

Interval Notation:

$(- 4, - 2)$

Step 8