Solving Inequalities Math Test! Trivia Quiz

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• 1.

X / 9 > 10

• A.

X < 90

• B.

X > 90

• C.

X > 1.11

• D.

X > 10

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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• 2.

X / 6 > 7

• A.

X > 42

• B.

X > 7

• C.

X > 1.17

• D.

X < 42

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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• 3.

X / -9 > 4

• A.

X > -36

• B.

X < 4

• C.

X > -0.44

• D.

X < -36

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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• 4.

X / -3 > 2

• A.

X > -6

• B.

X < 2

• C.

X < -6

• D.

X > -0.67

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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• 5.

X / -3 > -8

• A.

X < -8

• B.

X > 2.67

• C.

X > 24

• D.

X < 24

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.

X / -5 > -3

• A.

X < 15

• B.

X < 0.60

• C.

X > -3

• D.

X > 15

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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• 7.

X / 10 > 3

• A.

X > 0.30

• B.

X < 30

• C.

X > 3

• D.

X > 30

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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• 8.

X / 9 > 9

• A.

X > 1

• B.

X > 81

• C.

X > 9

• D.

X < 81

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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• 9.

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

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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• Current Version
• Mar 22, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 10, 2010
Quiz Created by
Smjohnson

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