Solve -22<-4(v+2)+6

$$- 22 < - 4 ( v + 2 ) + 6$$

Solve for v

$$v<5$$

Solution Steps

Use the distributive property to multiply -4 by v+2.

$$-22<-4v-8+6$$

Add -8 and 6 to get -2.

$$-22<-4v-2$$

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

$$-4v-2>-22$$

Add 2 to both sides.

$$-4v>-22+2$$

Add -22 and 2 to get -20.

$$-4v>-20$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$v<\frac{-20}{-4}$$

Divide -20 by -4 to get 5.

$$v<5$$