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Question

For safety. the recommended height of a horse fence is 5 ft. Because of uneven ground surfaces, the actual height of the fence can vary from recommendation by 3 in. Write and solve an absolute value equation to find the maximum and minimum heights of the fence.

Answer 1

l 60 -x l  <=  3

-(60 - x) <= 3  and (60-x) <= 3

 

-60 + x <= 3   and 60 - x <= 3

 

x <= 63    and  -x <= -63 or x>=57.

 

so 57<= x  <=63  Minimum is 57 inches and maximum is 63 inches