Algebra Examples

$- 6 \leq 6 x < 24$

Step 1

Solve $- 1 \leq x < 4$ .

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Step 1.1

Divide each term in the inequality by $6$ .

$\frac{- 6}{6} \leq \frac{6 x}{6} < \frac{24}{6}$

Step 1.2

Divide $- 6$ by $6$ .

$- 1 \leq \frac{6 x}{6} < \frac{24}{6}$

Step 1.3

Cancel the common factor of $6$ .

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Step 1.3.1

Cancel the common factor.

$- 1 \leq \frac{6 x}{6} < \frac{24}{6}$

Step 1.3.2

Divide $x$ by $1$ .

$- 1 \leq x < \frac{24}{6}$

Step 1.4

Divide $24$ by $6$ .

$- 1 \leq x < 4$

Step 2

Use the inequality $- 1 \leq x < 4$ to build the set notation.

${x | - 1 \leq x < 4}$

Step 3