Anna is hiking in a canyon. The inequality statements compare the elevations of the hiking trail at three different points. −21 ft<−18 ft −18 ft<10 ft Which statement comparing the elevations are true? Select each correct statement. Responses An elevation of −18 feet is higher than an elevation of 10 feet. An elevation of , negative 18, feet is higher than an elevation of 10 feet. An elevation of −21 feet is lower than an elevation of −18 feet. An elevation of , negative 21, feet is lower than an elevation of , negative 18, feet. An elevation of 10 feet is lower than an elevation of −21 feet. An elevation of 10 feet is lower than an elevation of , negative 21, feet. An elevation of −18 feet is higher than an elevation of −21 feet.

Question

04-01-2024
Mathematics

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Anna is hiking in a canyon. The inequality statements compare the elevations of the hiking trail at three different points. −21 ft<−18 ft −18 ft<10 ft Which statement comparing the elevations are true? Select each correct statement. Responses An elevation of −18 feet is higher than an elevation of 10 feet. An elevation of , negative 18, feet is higher than an elevation of 10 feet. An elevation of −21 feet is lower than an elevation of −18 feet. An elevation of , negative 21, feet is lower than an elevation of , negative 18, feet. An elevation of 10 feet is lower than an elevation of −21 feet. An elevation of 10 feet is lower than an elevation of , negative 21, feet. An elevation of −18 feet is higher than an elevation of −21 feet.

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nmomma83 nmomma83 · Answer 1 · 2024-01-04T21:56:03+01:00

Let's go through each statement and determine which ones are true based on the given inequality statements comparing elevations:

1. An elevation of −18 feet is higher than an elevation of 10 feet.
This statement is false because −18 feet is actually lower than 10 feet.

2. An elevation of , negative 18, feet is higher than an elevation of 10 feet.
This statement is false for the same reason as the previous one.

3. An elevation of −21 feet is lower than an elevation of −18 feet.
This statement is true because −21 feet is indeed lower than −18 feet.

4. An elevation of , negative 21, feet is lower than an elevation of , negative 18, feet.
This statement is true for the same reason as the previous one.

5. An elevation of 10 feet is lower than an elevation of −21 feet.
This statement is false because 10 feet is higher than −21 feet.

6. An elevation of 10 feet is lower than an elevation of , negative 21, feet.
This statement is false for the same reason as the previous one.

7. An elevation of −18 feet is higher than an elevation of −21 feet.
This statement is true because −18 feet is higher than −21 feet.

So, the true statements are:
- An elevation of −21 feet is lower than an elevation of −18 feet.
- An elevation of , negative 21, feet is lower than an elevation of , negative 18, feet.
- An elevation of −18 feet is higher than an elevation of −21 feet.

alexaosoriorosa alexaosoriorosa · Answer 2 · 2024-01-04T21:56:04+01:00

Step-by-step explanation:

The inequality statements provided compare the elevations of the hiking trail at three different points: -21 ft < -18 ft and -18 ft < 10 ft. Let's analyze each statement and determine if they are true or false:

1. An elevation of -18 feet is higher than an elevation of 10 feet.

- This statement is false. In the given inequality -18 ft < 10 ft, -18 feet is actually lower than 10 feet.

2. An elevation of -18 feet is higher than an elevation of -21 feet.

- This statement is true. In the given inequality -21 ft < -18 ft, -18 feet is indeed higher than -21 feet.

3. An elevation of -21 feet is lower than an elevation of -18 feet.

- This statement is true. The inequality -21 ft < -18 ft indicates that -21 feet is lower than -18 feet.

Based on our analysis, the correct statements are:

- An elevation of -18 feet is higher than an elevation of -21 feet.

- An elevation of -21 feet is lower than an elevation of -18 feet.

It's important to understand that negative numbers on the number line represent values lower than zero, while positive numbers represent values higher than zero. The greater the magnitude of a negative number, the lower the value it represents. Conversely, the smaller the magnitude of a negative number, the higher the value it represents.