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

Answer:

$|T -37.5| \leq 3.5$

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:

$-3.5+37.5 \leq T \leq 3.5+ 37.5$

$34 \leq T \leq 41$

Step-by-step 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:

$-3.5+37.5 \leq T \leq 3.5+ 37.5$

$34 \leq T \leq 41$