Solve (168+4d)11/2<0

$$\frac { ( 168 + 4 d ) 11 } { 2 } < 0$$

Solve for d

$$d<-42$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same. Anything times zero gives zero.

$$\left(168+4d\right)\times 11<0$$

Divide both sides by 11. Since 11 is positive, the inequality direction remains the same. Zero divided by any non-zero number gives zero.

$$168+4d<0$$

Subtract 168 from both sides. Anything subtracted from zero gives its negation.

$$4d<-168$$

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

$$d<\frac{-168}{4}$$

Divide -168 by 4 to get -42.

$$d<-42$$