Question

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

Answer 1

The correct answer is A

Answer 2

Answer:

Correct choice is A

Step-by-step explanation:

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

$|t-72|\le 2,$

because tha absolute value for the expression $t-72$ is the sam as the absolute value for the expression $72-t.$

Then you can eliminate the absolute value sign:

$-2\le t-72\le 2,\\ \\-2+72\le t-72+72\le 2+72,\\ \\70\le t\le 74.$

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