What is the intersections of two sets A and B?

The set of all elements that are in both A and B

Which of the following statements is true for a function to be bijective?

It must be both one-to-one and onto

What is a group in mathematics?

A set with an operation, an identity element, inverse and associativity

Which of the following statements defines a surjective function?

Every element in the codomain has at least one pre-image in the domain

What is the definition of a set in mathematics?

A collection of distinct objects considered as an entity

What is the power set of a set?

A set containing all the subsets of the original set

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Algebra

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Answers

1
What is the associative property in mathematics?
a + b = b + a
a2 + b2= c2
a*(b+c)=(a*b)+(a*c)
(a + b) + c = a + (b + c)
2
If a set A has 5 elements, what is the number of subsets of A?
10
32
5
25
3
What is the intersections of two sets A and B?
The set of all elements that are in both A and B
The set of all elements in B but not in A
The set of all elements of A or B
The set of all elements that are in A but not in B
4
Which of the following statements is true for a function to be bijective?
It must be only onto
It must be both one-to-one and onto
It must be only one-to-one
It must be both continuous and differentiable
5
What is a group in mathematics?
A set equipped with a commutative operation
A set equipped with two binary operations
A collection of numbers
A set with an operation, an identity element, inverse and associativity
6
Which of the following statements defines a surjective function?
No element in the domain maps to more than one element in the codomain
Every element in the codomain has exactly one pre-image in the domain
Every element in the codomain has at least one pre-image in the domain
Every element in the domain maps to a distinct element in the codomain
7
Which of the following is a reflexive relation?
a+b=b+a
a=b
a\neb
a\leb
8
What is the definition of a set in mathematics?
A collection of ordered pairs
A collection of distinct objects considered as an entity
A type of function between two spaces
A mathematical operation between numbers
9
Which of the following is an example of a commutative operation?
Subtraction
Division
Addition
Exponentiation
10
What is the power set of a set?
A set containing only the single elements of the original set
A set of all its elements
A set containing only the even subsets of the original set
A set containing all the subsets of the original set

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