Solving Inequalities Math Test! Trivia Quiz

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| By Smjohnson

Smjohnson

Community Contributor

Quizzes Created: 8 | Total Attempts: 14,748

Questions: 9 | Attempts: 5,133 | Updated: Mar 22, 2023

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Questions and Answers

1.

X / 9 > 10
- A.
  
  X < 90
- B.
  
  X > 90
- C.
  
  X > 1.11
- D.
  
  X > 10
Correct Answer
B. X > 90

Explanation
The correct answer is x > 90 because when dividing x by 9 and comparing it to 10, if the result is greater than 10, then x must be greater than 90.

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3
0
2.

X / 6 > 7
- A.
  
  X > 42
- B.
  
  X > 7
- C.
  
  X > 1.17
- D.
  
  X < 42
Correct Answer
A. X > 42

Explanation
The given inequality states that x divided by 6 is greater than 7. To solve this inequality, we can multiply both sides of the inequality by 6 to isolate x. This gives us x > 42, which means that x is greater than 42. Therefore, the correct answer is x > 42.

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4
2
3.

X / -9 > 4
- A.
  
  X > -36
- B.
  
  X < 4
- C.
  
  X > -0.44
- D.
  
  X < -36
Correct Answer
D. X < -36

Explanation
The correct answer is x < -36. By dividing both sides of the inequality by -9, we can isolate the variable x. When dividing by a negative number, the inequality sign must be flipped. Therefore, x > -36 becomes x < -36.

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7
5
4.

X / -3 > 2
- A.
  
  X > -6
- B.
  
  X < 2
- C.
  
  X < -6
- D.
  
  X > -0.67
Correct Answer
C. X < -6

Explanation
The given inequality states that x divided by -3 is greater than 2. To solve this inequality, we need to multiply both sides by -3 (since we are dividing by a negative number). This reverses the inequality sign. Therefore, we have x < -6, which means that x is less than -6.

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9
2
5.

X / -3 > -8
- A.
  
  X < -8
- B.
  
  X > 2.67
- C.
  
  X > 24
- D.
  
  X < 24
Correct Answer
D. X < 24

Explanation
The given inequality states that x divided by -3 is greater than -8. To solve this inequality, we can multiply both sides by -3, but since we are multiplying by a negative number, the inequality sign will flip. Therefore, we get x < 24 as the correct answer. This means that any value of x that is less than 24 will satisfy the inequality.

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6
0
6.

X / -5 > -3
- A.
  
  X < 15
- B.
  
  X < 0.60
- C.
  
  X > -3
- D.
  
  X > 15
Correct Answer
A. X < 15

Explanation
The given inequality states that x divided by -5 is greater than -3. To solve this inequality, we can multiply both sides by -5, which reverses the inequality sign. This gives us x < 15, meaning that x is less than 15. Therefore, the correct answer is x < 15.

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3
1
7.

X / 10 > 3
- A.
  
  X > 0.30
- B.
  
  X < 30
- C.
  
  X > 3
- D.
  
  X > 30
Correct Answer
D. X > 30

Explanation
The given inequality states that x divided by 10 is greater than 3. To solve this inequality, we can multiply both sides of the inequality by 10 to isolate x. This gives us x is greater than 30. Therefore, the correct answer is x > 30.

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7
0
8.

X / 9 > 9
- A.
  
  X > 1
- B.
  
  X > 81
- C.
  
  X > 9
- D.
  
  X < 81
Correct Answer
B. X > 81

Explanation
The given inequality states that the value of x divided by 9 is greater than 9. To solve this, we can multiply both sides of the inequality by 9, which gives us x > 81. This means that x must be greater than 81 for the inequality to hold true.

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5
0
9.

When you multiply both sides of any inequality by a negative number, you need to ________ the inequality symbol.

Correct Answer
flip

Explanation
When you multiply both sides of any inequality by a negative number, you need to flip the inequality symbol. This is because multiplying both sides by a negative number reverses the direction of the inequality. For example, if the original inequality is "x > 5" and you multiply both sides by -1, you would get "-x < -5". So, flipping the inequality symbol is necessary to maintain the correct relationship between the two sides of the inequality.

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6
4 0

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Current Version
Mar 22, 2023

Quiz Edited by
ProProfs Editorial Team
Oct 10, 2010

Quiz Created by
Smjohnson

Solving Inequalities Math Test! Trivia Quiz

X / 9 > 10

X / 6 > 7

X / -9 > 4

X / -3 > 2

X / -3 > -8

X / -5 > -3

X / 10 > 3

X / 9 > 9

When you multiply both sides of any inequality by a negative number, you need to ________ the inequality symbol.