Question

Maureen tracks the range of outdoor temperatures over three days. She records the following information.

(picture attached)

Which answer below expresses the intersection of the three days as an inequality in terms of temperature, t. (The Intersection would be the temperatures they have in common.)

0 < t < 40

0 ≤ t ≤ 40

-23 ≤ t ≤ 50

-23 < t < 50

Answer 1

Hello!

The answer is:

The correct option is the third option;

`-23\leq t\leq 50`

Why?

To find which of the options expresses the intersection of the three days as an inequality in terms of temperature "t" we need to find an inequality which starts at the lowest temperature (greater or equal) and finish at the highest temperature (less or equal).

So, we have that the lowest temperature is -23°F and the highest temperature is 50°F, there are two options for that range, but we need to consider that the temperature will range from -23° to 50°, so, the correct option is the third option;

`-23\leq t\leq 50`

We can see that the inequality express that the temperature will range from -23°F being greater or equal than that, to 50°F being less or equal than that.

Have a nice day!