Solve 2(x+1)<-3*(x+4)*-1

$$2 ( x + 1 ) < - 3 \cdot ( x + 4 ) \cdot - 1$$

Solve for x

$$x>-10$$

Solution Steps

Use the distributive property to multiply 2 by x+1.

$$2x+2<-3\left(x+4\right)\left(-1\right)$$

Multiply -3 and -1 to get 3.

$$2x+2<3\left(x+4\right)$$

Use the distributive property to multiply 3 by x+4.

$$2x+2<3x+12$$

Subtract 3x from both sides.

$$2x+2-3x<12$$

Combine 2x and -3x to get -x.

$$-x+2<12$$

Subtract 2 from both sides.

$$-x<12-2$$

Subtract 2 from 12 to get 10.

$$-x<10$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x>-10$$