Solve 14<-16(j+3)-2

$$14 < - 16 ( j + 3 ) - 2$$

Solve for j

$$j<-4$$

Solution Steps

Use the distributive property to multiply -16 by j+3.

$$14<-16j-48-2$$

Subtract 2 from -48 to get -50.

$$14<-16j-50$$

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

$$-16j-50>14$$

Add 50 to both sides.

$$-16j>14+50$$

Add 14 and 50 to get 64.

$$-16j>64$$

Divide both sides by -16. Since -16 is negative, the inequality direction is changed.

$$j<\frac{64}{-16}$$

Divide 64 by -16 to get -4.

$$j<-4$$