Graph -2<=x/4-6<6

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

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

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

Add $- 2$ and $6$ .

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

Multiply each term in the inequality by $4$ .

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

Multiply $4$ by $4$ .

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify each term.

Multiply $6$ by $4$ .

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

Multiply $6$ by $4$ .

$16 \leq x < 24 + 24$

Add $24$ and $24$ .

$16 \leq x < 48$