Can someone show me how to do these problems, please? I really need help... I just have to answer the questions and show how it was solved
1. Carlos spends at least 45 minutes each day on the Internet. Which inequality could be used to describe the amount of time, x, that Carlos spends on the Internet?
2. Amrita spends at most 2 hours watching television each night. Which inequality could be used to describe the amount of time, x, that Amrita spends watching television each night?
3. Joe expects to spend at least $8500 on a used car, but he can’t afford to spend more than $12,000. Which inequality could be used to describe the amount of money, x, that Joe may spend on a car?
4. Teenagers should sleep between 8 and 10 hours per night. Sarah typically sleeps 2 hours less than this per night. Which inequality describes the amount of time that Sarah sleeps?
5. Men need to intake between 2200 and 2800 calories daily. Women need 600 fewer calories than this. Write and solve an inequality to discover how many calories women should be taking in per day.
really? Just remember that
< means less than
<= means less than or equal, or not more than, or at most
> means greater than
>= means greater than or equal, or not less than, or at least
So, now you can easily see that
#1: x >= 45
#4: 8-2 <= x <= 10-2
try the others.
1. The inequality that could be used to describe the amount of time Carlos spends on the Internet is:
x ≥ 45 minutes.
2. The inequality that could be used to describe the amount of time Amrita spends watching television each night is:
x ≤ 2 hours.
3. The inequality that could be used to describe the amount of money Joe may spend on a car is:
8500 ≤ x ≤ 12000.
4. Let's assume the recommended amount of sleep for a teenager is between 8 and 10 hours, inclusive. Sarah typically sleeps 2 hours less than this, so the inequality that describes the amount of time Sarah sleeps per night is:
6 ≤ x ≤ 8 hours.
5. Men need to intake between 2200 and 2800 calories daily. Women need 600 fewer calories than this, so the inequality that describes the number of calories women should be taking in per day is:
1600 ≤ x ≤ 2200 calories.
1. To describe the amount of time Carlos spends on the Internet, we can use the inequality "x ≥ 45". This inequality states that the amount of time, represented by x, that Carlos spends on the Internet is greater than or equal to 45 minutes.
2. To describe the amount of time Amrita spends watching television, we can use the inequality "x ≤ 2". This inequality states that the amount of time, represented by x, that Amrita spends watching television is less than or equal to 2 hours.
3. To describe the amount of money Joe may spend on a car, we can use the inequality "8500 ≤ x ≤ 12000". This inequality states that the amount of money, represented by x, that Joe may spend on a car is between $8500 and $12,000, inclusive.
4. To describe the amount of time that Sarah sleeps, we need to first determine the range of the recommended sleep duration for teenagers, which is between 8 and 10 hours per night. Since Sarah typically sleeps 2 hours less than this, we can use the inequality "x ≤ 8 - 2" or "x ≤ 6". This inequality states that the amount of time, represented by x, that Sarah sleeps is less than or equal to 6 hours.
5. To determine how many calories women should be taking in per day, we can start with the range of recommended calorie intake for men, which is between 2200 and 2800 calories daily. Women need 600 fewer calories than this, so we subtract 600 from both ends of the range to get "1600 ≤ x ≤ 2200". This inequality states that the amount of calories, represented by x, that women should be taking in per day is between 1600 and 2200, inclusive.