Solving Inequalities Math Test! Trivia Quiz

1) X / 6 > 7

X > 42

X > 7

X > 1.17

X < 42

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.

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.

2) X / 9 > 10

X < 90

X > 90

X > 1.11

X > 10

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.

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.

3) X / 10 > 3

X > 0.30

X < 30

X > 3

X > 30

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.

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.

4) X / 9 > 9

X > 1

X > 81

X > 9

X < 81

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.

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.

5) X / -3 > -8

X < -8

X > 2.67

X > 24

X < 24

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.

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.

6) X / -5 > -3

X < 15

X < 0.60

X > -3

X > 15

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.

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.

7) X / -3 > 2

X > -6

X < 2

X < -6

X > -0.67

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.

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.

8) X / -9 > 4

X > -36

X < 4

X > -0.44

X < -36

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.

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.

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

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.

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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