Solve v+7/8<-1/2

$$v + \frac { 7 } { 8 } < - \frac { 1 } { 2 }$$

Solve for v

$$v<-\frac{11}{8}$$

Solution Steps

Subtract \frac{7}{8} from both sides.

$$v<-\frac{1}{2}-\frac{7}{8}$$

Least common multiple of 2 and 8 is 8. Convert -\frac{1}{2} and \frac{7}{8} to fractions with denominator 8.

$$v<-\frac{4}{8}-\frac{7}{8}$$

Since -\frac{4}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$v<\frac{-4-7}{8}$$

Subtract 7 from -4 to get -11.

$$v<-\frac{11}{8}$$