Sets Review 2

Sets Review 2

All things sets

Multiple Select

Which are an example of a set? (Check all that apply)

• set of colors

• {3, 5, 7, 9, 11}

• the students of 1S/L and 1C/O

• { x | x > 3}

Multiple Choice

Which brackets are used in the topic of sets?

• []

• { }

• ()

• <>

Multiple Choice

Give an example of set builder notation.

• {this is a set}

• {x|x>0}

• {2<x<5}

• { }

Multiple Choice

Write in set builder notation. {-3, -2, -1, 0, 1}

• { x | x ∈ ℤ, -3 < x < 1}

• { x | x ∈ ℤ, -3 < x < 1}

• { x | x∈ ℝ, -3 < x < 1}

• { x | x∈ ℝ, -3 < x < 1}

• {-3, 1}

Multiple Choice

Express the following numbers in Set Builder notation:

{3, 4, 5}

• { x | 3 ≤ x ≤ 5 }

• { x | 3 < x < 5 }

• { x | 3 ≤ x ≥ 5 }

• { x | 3 < x > 5 }

Multiple Choice

Write this set A in set notation: A = { x | x ∈ N and x > 4 } ?

• A = { 5, 6, 7, . . .}

• A= {4, 5, 6,7, ...}

• A= {1,2,3,4}

• A= {1,2,3,4, ...}

Multiple Choice

Which of the following sets is empty?

• { x | x $\in$ ℕ}

• { x | x is a human being traveled to the sun }

• { x | x is an even number between 3 and 5 }

Multiple Choice

Write the following description of numbers in set builder notation:

y > 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

Multiple Choice

Write the following description of numbers in set builder notation:

x ≥ -2

• { x | x ≥ 2 }

• { x | x ≥ -2 }

• { x ≥ -2 }

• { x | x ≤ -2 }

Multiple Choice

Is 89 an element of M={x|x<50}?

• Yes

• No

Multiple Choice

Is 101 an element of P={x|x∈𝕎}?

• Yes

• No

Multiple Choice

What is a well-defined set?

• a set that is in the dictionary

• a set in which it is uncertain whether an item is an element or not

• a set in which it is easy to say whether an item is an element or not

• a set that is not clear

Multiple Choice

Which of the following is not an element of A = {b, g, 5, 8, 12}}

• c

• 12

• g

• 8

Multiple Choice

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

• Equal

• Equivalent

Multiple Choice

If every element in set A is also in set B, then...

• A is a subset of B
• B is a subset of A
• A = B
• A and B are disjoint

Multiple Choice

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

• 6

• 12

• 4

• 8

Multiple Choice

{ x | x is a Marymount Student}

• Roster Form

• Universal Form

• Set Builder Notation

• Equivalent Inequality

Multiple Choice

< says:

• greater than

• less than

• greater than or equal to

• less than or equal to

Multiple Choice

Which of the following is the symbol for element of?

• ∅

•  $\subset$  

•  $\in$  

•  $\not\subset$  

Multiple Choice

What is the name of the number set with these elements? {0, 1, 2, 3....}

• Whole numbers

• Integers

• Counting numbers

• not here

Multiple Choice

These are numbers with exactly two factors, one and itself.

• Composite Numbers

• Even Numbers

• Odd Numbers

• Prime Numbers

Multiple Choice

These are sets with exactly the same elements.

• Equal Sets

• Equivalent Sets

• Joint Sets

• Disjoint Sets

Multiple Select

Which sets are EQUIVALENT to {a,b,c}? Choose ALL that apply.

• {b,c,a}

• {1,2,3}

• {Aaron, Andrew, Anthony}

• {chair, table, sofa}

Multiple Choice

Which is an example of a finite set?

• {2,4,6,8...}

• {...2,4,6,8...}

• {2,4,6,8}

• {...2,4,6,8}

Multiple Select

Which symbol(s) can represent the empty set? Choose ALL that applies.

• { }

• $\phi$

• $\exists$

• $\Sigma$

Multiple Choice

Consider M={vowels in the word "MATHEMATICS"}. Find n(M).

• 4

• 3

• 7

• 10

Multiple Choice

Which of the following statements is TRUE?

• 2 $\epsilon$ {1,3,5,7}

• {5} $\epsilon$ {5,10,15,20,}

• 6 $\epsilon$ {x | x is an odd number}

• 3 $\epsilon$ {x | x is a prime number}

Multiple Choice

Which of these sets is equivalent but not equal to {Ram, Jay, Mick}

• {Mick, Jay, Olga}

• {Jay, Mick, Ram}

• {Mick, Jay, Ram}

• {Andy, Ram, Ed, Jay}

Multiple Choice

Which of these sets is equal to {L,O,V,E}?

• {O,V,E}

• {S,E,V,O,L}

• {O,E,L,V}

• {L,E,V}