Answer:
[tex] |T -37.5| \leq 3.5 [/tex]
And using properties of absolute value we got:
[tex] -3.5 \leq T-37.5 \leq 3.5[/tex]
And adding 37.5 on both sides is given by:
[tex] -3.5+37.5 \leq T \leq 3.5+ 37.5[/tex]
[tex] 34 \leq T \leq 41[/tex]
Step-by-step explanation:
For this case we assume that the ideal temperature is given by [tex] T=37.5 F[/tex]
And for this case we know that the limits within 3.5 F within the ideal temperature so we can write this like that:
[tex] |T -37.5| \leq 3.5 [/tex]
And using properties of absolute value we got:
[tex] -3.5 \leq T-37.5 \leq 3.5[/tex]
And adding 37.5 on both sides is given by:
[tex] -3.5+37.5 \leq T \leq 3.5+ 37.5[/tex]
[tex] 34 \leq T \leq 41[/tex]
