Question

2. Solve and graph the inequality |4 – v| < 5.

a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.

Answer 1

|a|<b implies -b<a<b

Answer 2

so |4 – v| < 5 implies -5<4-v<5

Answer 3

now part b ) -5-4<-v<5-4 implies -9<-v<1 implies 9>v>-1 (by multiplying throughout by -1)
i.e. -1<v<9