Inequality and Venn diagram

Multiple Choice

You need to do _____ transformation (add, subtract, multiply, divide, etc) to both sides of the inequality (similar to equation)

• no

• any

• the same

• the opposite

Multiple Choice

When multiply a negative a number to both sides, the direction of the inequality ___________

• Stay the same

• Reverse

Multiple Choice

When add a negative a number to both sides, the direction of the inequality ___________

• Stay the same

• Reverse

Multiple Choice

When subtract a negative a number to both sides, the direction of the inequality ___________

• Stay the same

• Reverse

Multiple Choice

When divide a negative a number to both sides, the direction of the inequality ___________

• Stay the same

• Reverse

Multiple Choice

When a number subtracts both sides, the direction of the inequality ___________

(example: 5-a and 5-b)

• Stay the same

• Reverse

Multiple Choice

Select the value that makes the following inequality TRUE.

x - 8 ≤ 20

• 30

• 28

• 32

• 50

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

Multiple Choice

Solve the inequality.

30 + n ≥ 50

• n > 50

• n ≥ 80

• n < 30

• n ≥ 20

Multiple Choice

-3 + x ≤ -11

• x ≤ -8

• x ≤ 8

• x ≥ -8

• x ≥ 8

Multiple Choice

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

Multiple Choice

• v > -12

• v > 12

• v < 12

• v < -12

Multiple Choice

• r > 16

• r > 24

• r < 16

• r < 24

Multiple Select

$$x^2>100$$ (choose all that apply)

• x>10

• x<10

• x>-10

• x<-10

• No solution

Multiple Select

$$2x^2>128$$ (choose all that apply)

• x>8

• x<8

• x>-8

• x<-8

• No solution

Multiple Select

$$-x^2>9$$ (choose all that apply)

• x>3

• x<3

• x>-3

• x<-3

• No solution

Multiple Select

$$-x^3>27$$ (choose all that apply)

• x>3

• x<3

• x>-3

• x<-3

• No solution

Multiple Select

$$\frac{x^3}{2}>500$$ (choose all that apply)

• x>10

• x<10

• x>-5

• x<5

• No solution

Multiple Choice

Solve -2x + 4 - 5x $$\le$$  25

• x $$\le$$  -3

• x $$\ge$$  7

• x $$\ge$$  -3

• x $$\ge$$  7

Multiple Choice

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > -14

Multiple Choice

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > -14

Multiple Choice

-p − 4p > -10

• p > -2

• p > 2

• p < -2

• p < 2

Multiple Choice

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Multiple Choice

5z - 2 - 2z < 13

• z > 5

• z < 5

• z > 1

• z < 1

Multiple Choice

6x + 2 + 6x < 14

• x < 1

• x > 1

• x < -1

• x > -1

Fill in the Blanks

•A set is a “

” of things that usually share a common pattern.

Fill in the Blanks

A set is usually named by a ____ ____.

Fill in the Blanks

The elements in a set is listed inside a pair of { }  brackets and separated by

.

Fill in the Blanks

A set that has no element is called a “

set” and notated by ∅.

Fill in the Blanks

The intersection of two sets is the group of elements that belong to

of them.

Fill in the Blanks

•The union of two sets is the group of elements that belong to

of them.

Multiple Choice

What is the complement set of $$Q$$ (set of rational numbers)?

• $$R$$

• $$I$$

• $$N$$

• $$W$$

Multiple Choice

What statement does the shaded region represent?

• $$A\ \cup\ B$$

• $$A$$

• $$A\ \cap\ B$$

• $$B'$$

Multiple Choice

How many senior boys play football and wrestle?

• 9

• 12

• 18

• 39

Multiple Choice

What statement does the shaded region represent?

• $$B$$

• $$A'$$

• $$A\ \cap\ B'$$

• $$B\ -\ A$$

Multiple Choice

What statement represents the shaded part?

• A - B

• U and A

• U or A

• B Complement

Multiple Choice

How many senior boys play football but do not wrestle?

• 9
• 12
• 18
• 104

Multiple Choice

What does the shaded represent?

• A and B

• Universal Set

• A + B

• A or B

Multiple Choice

How many students took the survey?

• 32
• 47
• 53
• 56

Multiple Choice

What statement represents the shaded part?

• $$A'$$

• $$A\ -\ B$$

• $$U\ \cap\ A$$

• $$B'$$

Multiple Choice

How many students do not snowboard?

• 21
• 22
• 28
• 29

Multiple Choice

What statement represents the shaded part?

• $$B'$$

• $$\left(U\ \cup\ B\right)$$

• $$U'$$

• $$A'$$

Multiple Choice

How many students do not ski or ice skate?

• 10
• 16
• 22
• 28

Multiple Choice

What statement represents the shaded part?

• $$\left(A\cup B\right)\ -\ \left(A\ \cap\ B\right)$$

• $$\left(A\ \cap\ B\right)'$$

• $$\left(A\ \cup\ B\right)'$$

• $$A\ \cap\ B$$

Multiple Choice

How many students have all 3 streaming services?

• 40

• 360

• 10

• 140

Multiple Choice

What statement represents the shaded part?

• $$A\ \cap\ B$$

• $$\left(A\ \cap\ B\right)'$$

• $$\left(A\ U\ B\right)'\ \cup\ \left(A\ \cap B\right)$$

• undefined

Multiple Choice

How many people own cats?

• 3

• 4

• 6

• 7

• 10

Multiple Choice

What statement represents the shaded part?

• $$A'$$

• $$A\ \cup\ B$$

• $$U$$

• $$U'$$

Multiple Choice

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in the orchestra?

• 16

• 21

• 31

• 36

Multiple Choice

What statement represents the shaded part?

• $$A\ -\ B$$

• $$A'$$

• $$B\ -\ A$$

• $$U\ \cap\ B$$

Multiple Choice

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in chorus, band, and orchestra?

• 5

• 9

• 24

• 15

Multiple Choice

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students have brown hair?

• 13

• 16

• 20

• 22

Multiple Choice

What does the shaded portion of the Venn diagram represent?

• Band and Art
• Only Art
• Band or Art
• Neither

Multiple Choice

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students wear glasses?

• 2

• 3

• 5

Multiple Choice

The numbers 0, 1, 2, 3, ... are called

• whole numbers
• integers
• rational numbers
• natural numbers

Multiple Choice

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

• whole numbers
• integers
• rational numbers
• natural numbers

Multiple Choice

-10 is a whole number

• True
• False

Multiple Choice

Where would you place -6?

• In the whole number circle because it's a whole number, integer, and rational number.
• In the integer circle because it's an integer and rational number only.
• In the rational circle because it's only a rational number.
• I'm not sure because I don't know what rational means.

Multiple Choice

Which superhero is a genius and has super powers?

• Megamind

• Superman

• The Hulk

• Iron Man

Multiple Choice

How many superheros have super powers?

• 5

• 2

• 6

• 3

Multiple Choice

What is a set?

• A collection of objects with similar characteristics

• A collection of objects with no similarities

• A collection of objects with different characteristics

• A collection of objects

Multiple Choice

Element is

• The entire membership of the set

• The cardinality of the set

• A component of the set