jaderogers1011
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The temperature in a laboratory must be between 70 and 74 Fahrenheit, inclusive. If t is the temperature in the laboratory, which of the following inequalities represents this situation?

A. |72 - t| ≤ 2
B. |t - 2| ≤ 72
C. |t + 2| ≤ 72
D. |72 + t| ≤ 2

Respuesta :

aalexisstyless
the correct answer is A
frika

Answer:

Correct choice is A

Step-by-step explanation:

Consider the inequality in option A. This inequality can be rewritten as

[tex]|t-72|\le 2,[/tex]

because tha absolute value for the expression [tex]t-72[/tex] is the sam as the absolute value for the expression [tex]72-t.[/tex]

Then you can eliminate the absolute value sign:

[tex]-2\le t-72\le 2,\\ \\-2+72\le t-72+72\le 2+72,\\ \\70\le t\le 74.[/tex]

Thus, the temperature in a laboratory is between 70 and 74 Fahrenheit, inclusive.


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