wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

3/4/24 Classwork

Total questions: 24

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

2.

Express the following in Interval Notation

-9 < x ≤ -4

a)

[-9, -4]

b)

(-9,-4]

c)

[-9, -4]

d)

(-9,-4)

3.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

4.

Express the following in Interval Notation

-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

5.

Write the inequality in interval notation. x > -1

a)

(-∞, -1)

b)

(-1, ∞]

c)

(-∞, -1]

d)

(-1, ∞)

6.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

7.

Write the following in interval notation

x ≥ 100

a)

(0, 100] (Real quick)

b)

(∞, 100]

c)

[100, ∞)

d)

(∞, 100)

8.

Write the following solution in interval notation:

z < 20

a)

( -∞ , 20 )

b)

( 20,∞)

c)

( -∞ , 20)

d)

( -∞ , 20]

9.

Write the following in interval notation

x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

10.
When graphing b< 6 would you use an open or closed circle?
a)
open
b)
closed
11.
Look at the Graph. Write the inequality in interval notation.
a)
[-4, -1)
b)
(-4, -1)
c)
(-4, -1]
d)
[-4, -1]
12.

Can you use the symbols "[" or "]"

with infinity?

a)

Yes

b)

No

13.

Which of the following numbers is not in the interval (3, 9]?

a)

3

b)

3.14

c)

7

d)

9

14.

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

a)

<, >

b)

≤, ≥

c)

>, ≥

d)

<, ≤

15.
Express the following in Interval Notation
-9 < x < -8.5
a)
[-9, -8.5]
b)
[-9, -8.5)
c)
(-9, -8.5]
d)
(-9, -8.5)
16.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
17.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
18.

Which is the closest to " [ a, b) "

a)

All values between a and b, including both a and b

b)

All values between a and b, excluding both a and b

c)

All values between a and b, including a, but excluding b

d)

All values between a and b, including b, but excluding a

19.

Why do we not use closed parentheses/brackets for positive and negative infinity?

a)

Infinity is an idea/concept and not an actual number, so it can't be included

b)

False, we do in fact use closed parentheses/brackets for positive and negative infinity

c)

Huh?

d)

???

20.

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

21.

How would you describe the solution set for

x  91x\ ≥\ 91  ?

a)

the solution set is 91

b)

numbers less than or equal to 91

c)

x values greater than 91

d)

all real numbers greater than or equal to 91

22.

When writing a solution set in interval notation, what do I use for

< or > ?

a)

[ ]

b)

( )

23.

When writing a solution set in interval notation, what do I use for

≤ or ≥ ?

a)

[ ]

b)

( )

24.

Which is the closest to the meaning of [a, b) ?

a)

All values between a and b, including both a and b

b)

All values between a and b, excluding both a and b

c)

All values between a and b, including a, but excluding b

d)

All values between a and b, including b, but excluding a