Writing and Graphing Inequalities Quiz!

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

True

False

An open dot is used to graph inequalities solutions with the symbols 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.

Explanation

An open dot is used to graph inequalities solutions with the symbols 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.

2. 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.

True

False

To graph X

Explanation

To graph X

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

X > 4

X < 6

6 < x

X > 6

The correct inequality that describes a number less than 6 is x

Explanation

The correct inequality that describes a number less than 6 is x

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

Option 1

Option 2

Option 3

Option 4

Option 5

A closed dot is used to graph an inequality with the symbols less than or equal to (≤) and greater than or equal to (≥).

Explanation

A closed dot is used to graph an inequality with the symbols less than or equal to (≤) and greater than or equal to (≥).

Submit

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

Option 1

Option 2

Option 3

Option 4

Option 5

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.

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.

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

X > 10

X ≥ 10

X < 10

X ≤ 10

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."

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."

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

X >= 9

X<9

X <= 9

X > 9

The correct answer is x

Explanation

The correct answer is x

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

Option 1

Option 2

Option 3

Option 4

Option 5

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.

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.

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

C < 22

C <= 22

C > 22

C >= 22

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

Explanation

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

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

X >= 7

X < 7

X <= 7

X > 7

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.

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.

Writing And Graphing Inequalities Quiz