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Choose an inequality for each situation.

1. Last Wednesday, there was more than 4 inches of snow. _________________
2. Yesterday, there was less than 25 inches of snow. _________________
3. The temperature tomorrow will be no more than 8 °F. _________________
4. The temperature today will be at least 7 °F. _________________

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Answer:

The symbols that we will use are:

a > b (a is larger than b)

a < b (a is smaller than b)

a ≥ b (a is larger than or equal to b)

a ≤ b (a is smaller than or equal to b).

1) if x represents the inches of snow, we have:

"More than 4 inches" means that x must be strictly larger than 4 inches, this can be written as:

x > 4 inches.

2) "less than 25 inches" means that x must be strictly smaller than 25 inches, this can be written as:

x < 25 inches.

3) If T represents the temperature

"No more than 8°F" means that the temperature can be smaller than 8°F, or equal to 8°F, then we can write this situation with:

T ≤ 8°F

4) "At least 7°F" means that the temperature can be 7°F or more than that, then we can write this situation as:

T ≥ 7°F

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