Free Printable Basic Inequalities

Worksheets

Basic Inequalities

Total questions: 26

Worksheet time: 1hrs 16mins

Name

Class

Date

When you graph an inequality, you use a closed dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

When graphing an inequality, you use an open dot when you use which symbol?

<, >

≤, ≥

≤, <

≥, >

Match the graph with its inequality.

b > –2

b < –2

b ≥ –2

b ≤ –2

What inequality does the number line graph represent?

x ≤ -4

x ≥ -4

x < -4

x < 4

Would you use a closed or open circle to graph x < 3?

Closed

Open

What are two numbers that could be a solution for x in x < 8?

8.6, 7.9

11, 16

0.8, 5.9

12, 7.1

What inequality does the number line graph represent?

x≥ 3

x > 3

x < -3

x ≤ 3

Match the graph with its inequality.

a > 11

a < 11

a ≥ 11

a ≤ 11

What are two numbers that could be a solution for y in y > - 2?

-2, -100

0, 3

-3, 5

-2, 1

10.

Which numbers will make the statement k < -4 true?

1, 2, 3

-1, -2, -3

25, 40, 60

-25, -40, -60

11.

When graphing c=12, would you use an open or closed circle?

Open

Closed

12.

Will my circle be colored in?
5 ≥ x

Yes

13.

The solution of the inequality x < 3 would be

all numbers from 2 to negative infinity

all numbers which are less than three

all numbers greater than 3

all numbers from three to eternity

14.

A _________________ of an inequality is any number which makes the inequality true.

absolute value

opposite

inverse

solution

15.

Does -2 < x mean the same thing as x > -2?

Yes

16.

You must be at least 48 inches tall to ride the roller coaster.

x > 48

x < 48

x ≤ 48

x ≥ 48

17.

A number less than 7

x > 7

x < 7

x ≤ 7

x ≥ 7

18.

4 ≤ 6

True

False

19.

Fill in the blank with the correct sign >, < , or =
1/2 _______ -1/2

20.

X is less than 9

x < 9

x > 9

x ≥ 9

x ≤ 9

21.

We have at least 78 more days of school.

d ≥ 78

d ≤ 78

d > 78

d < 78

22.

Do you remember how to graph inequalities?

Will x<5 be an open point or closed point? Shaded which direction?

open, shaded right

open, shaded left

closed, shaded right

closed, shaded left

23.

x ≥ 8. What does this mean?

x is less than 8

x is greater than 8

x is greater than or equal to 8

24.

Which inequality matches this situation:
You must be at least 18 years old to vote

x > 18

x < 18

x ≤ 18

x ≥ 18

25.

Which of the following symbols means "less than or equal to"?

≤

≥

26.

If Ms. Mark has at least 20 students in her 3rd period class, which inequality represents this situation?

x ≥ 20

x > 20

x ≤ 20

x = 20

100 %

Basic Inequalities

Total questions: 26

Worksheet time: 1hrs 16mins

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