Finite Math Examples

$- 8 \leq 8 x - 3 < 0$

Step 1

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

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Step 1.1

Add $3$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 8 + 3 \leq 8 x < 0 + 3$

Step 1.2

Add $- 8$ and $3$ .

$- 5 \leq 8 x < 0 + 3$

Step 1.3

Add $0$ and $3$ .

$- 5 \leq 8 x < 3$

Step 2

Divide each term in the inequality by $8$ .

$\frac{- 5}{8} \leq \frac{8 x}{8} < \frac{3}{8}$

Step 3

Move the negative in front of the fraction.

$- \frac{5}{8} \leq \frac{8 x}{8} < \frac{3}{8}$

Step 4

Cancel the common factor of $8$ .

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Step 4.1

Cancel the common factor.

$- \frac{5}{8} \leq \frac{8 x}{8} < \frac{3}{8}$

Step 4.2

Divide $x$ by $1$ .

$- \frac{5}{8} \leq x < \frac{3}{8}$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$- \frac{5}{8} \leq x < \frac{3}{8}$

Interval Notation:

$[- \frac{5}{8}, \frac{3}{8})$

Step 6