Question

The ideal temperature inside a refrigerator is 37*5F plus or minus 3.5*F. Set up and solve an absolute value equation to find the high and low limits of the range of temperatures. Show your work.

Answer 1

`|T -37.5| \leq 3.5`

And using properties of absolute value we got:

`-3.5 \leq T-37.5 \leq 3.5`

And adding 37.5 on both sides is given by:

`-3.5+37.5 \leq T \leq 3.5+ 37.5`

`34 \leq T \leq 41`

Explanation:

For this case we assume that the ideal temperature is given by
`T=37.5 F`

And for this case we know that the limits within 3.5 F within the ideal temperature so we can write this like that:

`|T -37.5| \leq 3.5`

And using properties of absolute value we got:

`-3.5 \leq T-37.5 \leq 3.5`

And adding 37.5 on both sides is given by:

`-3.5+37.5 \leq T \leq 3.5+ 37.5`

`34 \leq T \leq 41`