Hypoglycemia (low blood sugar) and hyperglycemia (high blood sugar) are potentially dangerous and occur when a person’s blood sugar fluctuates by more than from the normal blood sugar level of
.
Write an inequality to describe blood sugar levels that are considered potentially dangerous.
\Let represents the blood sugar levels.
The inequality is .
solve an inequality.
\case(i).
\ (First inequality)
(Add
to each side)
(Apply additive inverse property:
)
(Add:
)
case(ii).
\ (Second inequality)
(Add
to each side)
(Apply additive inverse property:
)
(Subtract:
)
Therefore, the solution set is .
The inequality is ;
.