Solve -8leq-6+v/4/4

$$- 8 \leq - 6 + \frac { \frac { v } { 4 } } { 4 }$$

Solve for v

$$v\geq -32$$

Solution Steps

Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.

$$-32\leq -24+\frac{v}{4}$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-24+\frac{v}{4}\geq -32$$

Add 24 to both sides.

$$\frac{v}{4}\geq -32+24$$

Add -32 and 24 to get -8.

$$\frac{v}{4}\geq -8$$

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$v\geq -8\times 4$$

Multiply -8 and 4 to get -32.

$$v\geq -32$$