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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 :

Mhanifago

Answer:

  • -1 < v < 9

Step-by-step 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

View image Mhanifa

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