Question 1146774
i velieve the equation will be abs(99 - x) <= 1


this absolute value equation translates to:


either (99 - x) <= 1 or -(99 - x) <= 1


if you multiply both sides of the second inequality by -1, then your two inequalities become:


(99 - x) <= 1 or (99 - x) >= -1


add x to both sides of each inequality; subtract 1 from both sides of the first inequality; add 1 to both sides of the second inequality.
you will get:


98 <= x or 100 >= x


98 <= x is the same as x >= 98.


100 >= x is the same as x <= 100.


you get x >= 98 and x <= 100 to get 98 <= x <= 100.


the temperature can be anywhere between 98 and 100 inclusive and be considered normal.


your solution is |99 - x| <= 1.


this can also be written as abs(99 - x) <= 1.