Question

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.

50 points !!!!!

Answer 1

• -1 < v < 9

Explanation:

Given inequality

• |4 - v| < 5

a. The two inequalities:

1. 4 - v < 5

• v > 4 - 5
• v > -1

2. 4 - v > -5

• v < 4 - (-5)
• v < 9

b. Solution is the combination of the above two:

• -1 < v < 9

c. The graph is attached