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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

The Average Temperature At Pauls School Last Week Was 1F The Actual Temperature Varied By Less Than 2 Solve And Graph The Absolute Value Inequality To Represent class=

Answer :

The given inequality is

[tex]2>|x-1|[/tex]

This inequality is equivalent to

[tex]|x-1|<2[/tex]

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.

View image SaraphinaD400859

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