The thermometer in a freezer is set to -2 degrees Fahrenheit. This temperature varies by up to 3 degrees throughout the day. Write and solve an absolute value inequality that represents the range of temperatures(in degrees Fahrenheit) of the freezer throughout the day. Use t for your variable.

Let t be the temperature in degrees Fahrenheit. It was originally set to -2°F. The variation of the temperature throughout the day can be calculated as:

variation=t-(-2)=t+2

We know the temperature can vary by up to 3°F. Since the variation can be positive or negative, we must take the absolute value to comply with the restriction, that is:

[tex]|t+2|\le 3[/tex]

That is the inequality that represents the situation of the question. Now let's solve it.

The condition placed can be fulfilled only if

[tex]t+2\le 3[/tex]

And:

[tex]t+2\ge -3[/tex]

Solving the first inequality:

[tex]t\le 1[/tex]

And the second:

[tex]t\ge -5[/tex]

This means the temperature can vary from -5°F to 1°F on the freezer

20032601 20032601 · Answer 2 · 2022-04-27T02:38:03+02:00

20032601 20032601

27-04-2022

Answer:

the answer is b

Step-by-step explanation:

i just got it right and sorry im a year late

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The thermometer in a freezer is set to -2 degrees Fahrenheit. This temperature varies by up to 3 degrees throughout the day. Write and solve an absolute value inequality that represents the range of temperatures(in degrees Fahrenheit) of the freezer throughout the day. Use t for your variable.​

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The thermometer in a freezer is set to -2 degrees Fahrenheit. This temperature varies by up to 3 degrees throughout the day. Write and solve an absolute value inequality that represents the range of temperatures(in degrees Fahrenheit) of the freezer throughout the day. Use t for your variable.