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.
Would be great if someone could help :)
Its quite urgent

Answer 1

l4-vl<5
first inequality you keep it exactly the same only without the absolute value signs
4-v<5
subtract 4
-v<1
divide by -1
v>-1 (flip sign because of negative)
Second inequality you make the opposite side a negative
4-v<-5
subtract 4
-v<-9
divide by -1
v>9
v>-1 and v>9