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Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.
Question
Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.
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Mathematics
3 years
2021-08-04T05:05:11+00:00
2021-08-04T05:05:11+00:00 1 Answers
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Answers ( )
Answer:
|x – 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 – 1 = 6
Since it’s an or case, > with the modulus
|x – 1| > 6