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

Correct choice is A

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.