Question

The average temperature at Paul's school last week was 1°F. The actual temperature varied by less than 2°. Solve and graph the absolute value inequality to represent the range of possible temperatures. 2 > x - 11

Answer 1

The given inequality is

`2>|x-1|`

This inequality is equivalent to

`|x-1|<2`

We use the following absolute value properties for inequalities

[tex]|x|Applying this property, we have[tex]|x-1|<2\rightarrow-2Now, we have a compound inequality, let's solve it[tex]\begin{gathered} -2This means the solution set is all real numbers greater than -1 but less than 3. The following graph described this solution.

Therefore, the right answer is the second option.