Algebra Examples

$- 2 \leq \frac{x}{4} - 6 < 6$

Step 1

Add $6$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 2 + 6 \leq \frac{x}{4} < 6 + 6$

Step 2

Add $- 2$ and $6$ .

$4 \leq \frac{x}{4} < 6 + 6$

Step 3

Multiply each term in the inequality by $4$ .

$4 \cdot 4 \leq \frac{x}{4} \cdot 4 < 6 \cdot 4 + 6 \cdot 4$

Step 4

Multiply $4$ by $4$ .

$16 \leq \frac{x}{4} \cdot 4 < 6 \cdot 4 + 6 \cdot 4$

Step 5

Cancel the common factor of $4$ .

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Step 5.1

Cancel the common factor.

$16 \leq \frac{x}{4} \cdot 4 < 6 \cdot 4 + 6 \cdot 4$

Step 5.2

Rewrite the expression.

$16 \leq x < 6 \cdot 4 + 6 \cdot 4$

Step 6

Simplify each term.

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Step 6.1

Multiply $6$ by $4$ .

$16 \leq x < 24 + 6 \cdot 4$

Step 6.2

Multiply $6$ by $4$ .

$16 \leq x < 24 + 24$

Step 7

Add $24$ and $24$ .

$16 \leq x < 48$

Step 8