Title: Math 7 Inequalities
Course: quiz duplicate error

Q: Graph the inequality.

x > 1
 [Image]
- [Image] (The solutions should be numbers greater than 1.)
- [Image] (This is the numbers greater than 1, but it also includes 1. 1 > 1 is not true.)
- [Image]^ (correct)
- [Image]^ (The solutions should be numbers greater than 1.)
A: [Image]^

Q: Graph on a number line.

x < 0
[Image]
- [Image] (correct)
- [Image] (Incorrect. The solutions should be numbers less than 0.)
- [Image] (Incorrect. The solutions should be numbers less than 0.)
- [Image] (These are numbers less than 0, but the graph also includes 0 as a solution. 0 < 0 is not true.)
A: [Image]

Q: Graph on a number line.

-6 ≤ x
[Image]
- [Image] (Incorrect. -6 ≤ x is the same as x > -6. We want the numbers greater than or equal to -6.)
- [Image] (You are very close. Notice that it is x > -6. You need to include -6 in your solutions.)
- [Image] (correct)
- [Image] (Incorrect. -6 ≤ x is the same as x > -6. We want the numbers greater than or equal to -6.)
A: [Image]

Q: Graph the inequality.

x ≥ 5
[Image]
- [Image] (incorrect)
- [Image]^ (correct)
- [Image] (incorrect)
- [Image] (incorrect)
A: [Image]^

Q: Graph the inequality.

x < -6
[Image]
- [Image] (correct)
- [Image]^ (You are very close. Don't include -6 as a solution, though. -6 < -6 is not true.)
- [Image] (Incorrect. You want the numbers less than -6.)
- [Image] (Incorrect. You want the numbers less than -6.)
A: [Image]

Q: Graph on a number line.

x ≤ -3
[Image]
- [Image] (You are very close. Since it is "less than or equal to -3" you need to include -3 as a solution.)
- [Image] (Incorrect. The solutions are numbers less than or equal to -3.)
- [Image] (Incorrect. The solutions are numbers less than or equal to -3.)
- [Image] (correct)
A: [Image]

Q: Graph the inequality.

k > \[\frac{9}{2}\]
- [Image] (9/2 = 4.5, not 3.5.)
- [Image] (The 9/2 is positive.)
- [Image] (The 9/2 is positive.)
- [Image]
A: [Image]

Q: Is x = -6 is a solution to the inequality  x < -3?
- No (-6 < -3 is a true statement, so x = -6 is a solution to x < -3.)
- Yes (correct)
A: Yes

Q: Is x = -5 a solution to the inequality x ≤ 15?
- Yes (correct)
- No (-5 < 15 is true, so x = -5 is a solution.)
A: Yes

Q: Is x = 0.12 a solution to the inequality x ≤ -4?
- Yes (0.12 < -4 is not true because the 0.12 is positive, so it is greater than -4.)
- No (correct)
A: No

Q: Is x = -7.4 a solution to the inequality x ≤ 5?
- Yes (correct)
- No (-7.4 < 5 is a true statement, so x = -7.4 is a solution.)
A: Yes

Q: Is x = -3 a solution to the inequality x ≥ -1?
- No (correct)
- Yes (-3 > -1 is not true because -3 is less than -1.)
A: No

Q: Is x = 3.6 a solution to the inequality x ≥ 12?
- No (correct)
- Yes (3.6 > 12 is not true. 3.6 is less than 12.)
A: No

Q: Write an inequality for the graph.
[Image]
- x < 3 (Incorrect. The numbers greater than 3 are represented.)
- x < 3 (Incorrect. The numbers greater than 3 are represented.)
- x > 3 (3 is not a solution on the graph. See the open circle?)
- x > 3
A: x > 3

Q: Write an inequality for the sentence. Graph the solution on a number line.

c is not less than zero.
- c < 0 [Image] (This is c less than 0. Notice the question said not less than.)
- c > 0 [Image] (Very close. c not less than 0 will include 0.)
- c £ 0 [Image] (This is c less than or equal to 0. Notice the question said not less than.)
- c ³ 0 [Image]
A: c ³ 0 [Image]

Q: A road has a speed limit of 30 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
- r > 30 (The limit is 30, so the speeds should not be greater than 30.)
- r < 30
- r > 30 (The limit is 30, so the speeds should not be greater than 30.)
- r < 30 (If the limit is 30, you are allowed to drive 30 mph or less.)
A: r < 30

Q: To ride some rides at Lagoon you must be at least 46 inches tall. Write an inequality for the heights, h,  of the people on those rides.
- h < 46 (This would mean you had to be under 46 inches tall to ride.)
- h > 46 (Can't you ride if you are 46 inches tall?)
- h > 46 (Correct.)
- h < 46 (This would mean a child 36 inches tall could ride.)
A: h > 46

Q: Jake says he would like to eat more than 2 pieces of pie. Write an inequality for the number of pieces of pie, p, that would satisfy Jake.
- p < 2 (Not enough pie!)
- p < 2 (This could give Jake two pieces, but he wants more.)
- p > 2 (That is what Jake is talking about!)
- p > 2 (This would mean that 2 pieces of pie would be enough. I think Jake said he wanted more than 2.)
A: p > 2

Q: When you go through security at the airport, any liquid you have with you must be 3 ounces or less. Write an inequality for the ounces of mouth wash, m, you can take through airport security.
- m > 3 (Incorrect. This would mean you could take 20 ounces of mouthwash.)
- m < 3 (Almost correct. You are allowed to take 3 ounces.)
- m < 3 (Correct.)
- m > 3 (That would allow bottles of mouthwash that contained too many ounces.)
A: m < 3

Q: In order to drive in the state of Utah, you must be 16 years of age or older. Write an inequality for the ages, a, of drivers in Utah.
- a > 16 (Can't a 16 year old drive?)
- a > 16 (That's correct. Maybe when you get over 100 you should consider not driving anymore, though.)
- a < 16 (Are you going to let your little sister drive?)
- a < 16 (This would allow people under 16 to drive.)
A: a > 16