# Writing And Graphing Inequalities Quiz

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Did you study graphic inequalities during your school? Let's check how well you remember writing and graphing inequalities. Explore the world of mathematical inequalities with the Writing and Graphing Inequalities Quiz. Designed to challenge your understanding of algebraic expressions, this quiz delves into crafting and interpreting inequalities. From linear to quadratic, test your skills in expressing mathematical relationships through symbols and graphs. Whether you're a student honing your algebraic prowess or a math enthusiast seeking a challenge, this quiz offers a comprehensive assessment of your ability to navigate and articulate inequalities. Take the plunge into the world of mathematical Read moreexpressions, and chart your course to success with the Writing and Graphing Inequalities Quiz. Think you can pass the quiz? All you need is to check the inequality and graphical representation. Take the quiz and review your scores!

• 1.

### An open dot is used to graph inequalities solutions with the symbols < or >.

• A.

True

• B.

False

A. True
Explanation
An open dot is used to graph inequalities solutions with the symbols < or > because it represents that the value is not included in the solution. The open dot indicates that the value is not equal to the boundary point and falls outside the solution set.

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• 2.

### A closed dot is used to graph an inequality with what symbols below?  (choose all that apply)

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

• E.

Option 5

D. Option 4
E. Option 5
Explanation
A closed dot is used to graph an inequality with the symbols less than or equal to (≤) and greater than or equal to (≥).

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• 3.

### If you were to graph X < 10. You would need to draw an open dot at the number 10 and shade the number line to the left.

• A.

True

• B.

False

A. True
Explanation
To graph X < 10, we need to draw an open dot at the number 10 on the number line, indicating that 10 is not included in the solution set. Then, we shade the number line to the left of 10 to represent all the numbers that are less than 10. Therefore, the statement "You would need to draw an open dot at the number 10 and shade the number line to the left" is true.

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• 4.

### A number less than 6. Choose the correct inequality below that describes the above situation.

• A.

X > 4

• B.

X < 6

• C.

6 < x

• D.

X > 6

B. X < 6
Explanation
The correct inequality that describes a number less than 6 is x < 6.

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• 5.

### A number is at least 7. Choose the correct inequality below that describes the above situation.

• A.

X >= 7

• B.

X < 7

• C.

X <= 7

• D.

X > 7

A. X >= 7
Explanation
The correct inequality that describes the situation "A number is at least 7" is x >= 7. This means that the value of x can be equal to or greater than 7.

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• 6.

### Graph the solution to the inequality where a number is greater than or equal to the number 2.

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

• E.

Option 5

E. Option 5
Explanation
The correct answer is Option 5 because graphing the solution to the inequality "a number is greater than or equal to 2" would result in a number line that includes all numbers greater than or equal to 2. Option 5 represents this solution on a number line.

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• 7.

### Graph the solution to the inequality below. K≤2

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

• E.

Option 5

D. Option 4
Explanation
The correct answer is Option 4 because when graphing the solution to the inequality K≤2, we would shade the region on the number line to the left of or including the point 2. Option 4 represents this shading. Options 1, 2, 3, and 5 do not accurately represent the solution to the inequality.

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• 8.

### Which inequality represents the statement "A number is less than or equal to 10"?

• A.

X > 10

• B.

X ≥ 10

• C.

X < 10

• D.

X ≤ 10

D. X ≤ 10
Explanation
x > 10 represents "A number is greater than 10." x ≥ 10 represents "A number is greater than or equal to 10." x < 10 represents "A number is less than 10." x ≤ 10 represents "A number is less than or equal to 10."

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• 9.

### Write an inequality that describes the situation below. A number fewer than 9.

• A.

X >= 9

• B.

X<9

• C.

X <= 9

• D.

X > 9

B. X<9
Explanation

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• 10.

### Write an inequality that depicts the situation below. The cost of a shirt exceeds \$22. (let c represent all possible prices of the shirt)

• A.

C < 22

• B.

C <= 22

• C.

C > 22

• D.

C >= 22

C. C > 22
Explanation
The inequality c > 22 represents the situation correctly. It indicates that the cost of the shirt is greater than \$22.

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