We get the absolute value inequality as | x - 88 | > 38.
We are given that:
Hypoglycemia (low blood sugar) and hyperglycemia (high blood sugar) are potentially dangerous and can occur when a person's blood sugar fluctuates by more than 38 mg from the normal blood sugar level of 88mg. We need to write an inequality for it.
We know that the blood sugar level should not be less than:
88 mg - 38 mg = 50 mg
Also, the blood sugar level should not be higher than:
88 mg + 38 mg = 126 mg
The inequality then will become:
50 mg ≤ Blood sugar level ≤ 126 mg.
The absolute value inequality will be:
| x - 88 | > 38
Therefore, we get the absolute value inequality as | x - 88 | > 38.
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