Algebra Examples

$22 \geq 4 x + 2 > - 18$

Step 1

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

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Step 1.1

Subtract $2$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$22 - 2 \geq 4 x > - 18 - 2$

Step 1.2

Subtract $2$ from $22$ .

$20 \geq 4 x > - 18 - 2$

Step 1.3

Subtract $2$ from $- 18$ .

$20 \geq 4 x > - 20$

Step 2

Divide each term in the inequality by $4$ .

$\frac{20}{4} \geq \frac{4 x}{4} > \frac{- 20}{4}$

Step 3

Divide $20$ by $4$ .

$5 \geq \frac{4 x}{4} > \frac{- 20}{4}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Cancel the common factor.

$5 \geq \frac{4 x}{4} > \frac{- 20}{4}$

Step 4.2

Divide $x$ by $1$ .

$5 \geq x > \frac{- 20}{4}$

Step 5

Divide $- 20$ by $4$ .

$5 \geq x > - 5$

Step 6

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

$- 5 < x \leq 5$

Step 7