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3.1 and 3.2 Write an inequality or compound inequality that represents each situation.

1. A student must make at least a 21 on the ACT to be accepted into a certain college. Write an inequality that represents the situation.

2. The normal height of an adult male is within 4 inches of 72 inches. Write a compound inequality that represents the situation.

3. The point of the highest elevation in the world is Mount Everest in Nepal at 29,035 feet. The point of the lowest elevation in the world is the Dead Sea in Jordan at 1,349 feet below sea level. Write a compound inequality that represents the situation.

4. The speed limit on the road is 55 mph. The police officer is using a radar device to monitor speed. He allows people to exceed the limit by 2 mph or drive under the limit by 5 mph without giving them a ticket. Write a compound inequality representing the speed at which drivers can travel without getting a ticket.

5. Write an inequality for all real numbers that are less than or equal to -3 or greater than or equal to 1.

6. The acceptable temperature is between 98.2 degrees F and 98.8 degrees F. Write a compound inequality that represents this situation.

Answer :

Final answer:

1. ACT ≥ 21
2. 68 ≤ height ≤ 76
3. -∞ < elevation < 1349 ∧ 29035 < elevation < +∞
4. 50 ≤ speed ≤ 57
5. x ≤ -3 ∨ x ≥ 1
6. 98.2 ≤ temperature ≤ 98.8


Explanation:

1. The inequality that represents the situation where a student must make at least a 21 on the ACT to be accepted into a certain college is ACT ≥ 21.

2. The compound inequality that represents the situation where the normal height of an adult male is within 4 inches of 72 inches is 68 ≤ height ≤ 76.

3. The compound inequality that represents the situation where the point of the highest elevation is Mount Everest at 29035 feet and the point of the lowest elevation is the Dead Sea at 1349 feet below sea level is -∞ < elevation < 1349 ∧ 29035 < elevation < +∞.

4. The compound inequality representing the speed at which drivers can travel without getting a ticket is 50 ≤ speed ≤ 57.

5. The inequality representing real numbers that are less than or equal to -3 or greater than or equal to 1 is x ≤ -3 ∨ x ≥ 1.

6. The compound inequality representing the acceptable temperature being between 98.2°F and 98.8°F is 98.2 ≤ temperature ≤ 98.8.


Learn more about Inequalities here:

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