A bouncing spring inequality containing absolute values

Question

A spring hanging from a ceiling is bouncing up and down so that its distance, d, above the ground satisfies the inequality |d-4|<_1/2 foot. 

a. Solve this inequality for d. 

B. Between what distances measured from the ground will the springs oscillate? 

Answer 1

A) d - 4 >_  -0.5

 

d  >_ 3.5

 

d  <_ 4.5

 

 

B) It would oscillate between 3.5 and 4.5 ft