Set Theory 2.4 & 2.5

Set Theory 2.4 & 2.5

University

30 Qs

quiz-placeholder

Similar activities

UAS BAHASA PEMROGRAMAN KOMPUTER

UAS BAHASA PEMROGRAMAN KOMPUTER

University

25 Qs

Working with fractions

Working with fractions

1st Grade - University

25 Qs

Aproximaciones y errores de redondeo

Aproximaciones y errores de redondeo

University

25 Qs

Câu hỏi Toán học

Câu hỏi Toán học

12th Grade - University

25 Qs

Repàs de mates

Repàs de mates

1st Grade - Professional Development

25 Qs

Siap PHB Genap Matematika Kelas 8

Siap PHB Genap Matematika Kelas 8

8th Grade - University

25 Qs

Revision test maths

Revision test maths

7th Grade - University

25 Qs

Conjuntos

Conjuntos

10th Grade - University

26 Qs

Set Theory 2.4 & 2.5

Set Theory 2.4 & 2.5

Assessment

Quiz

Mathematics

University

Practice Problem

Medium

Created by

Dodz Juagpao

Used 4+ times

FREE Resource

AI

Enhance your content in a minute

Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let A = {1, 2}, B = {a, b}. How many functions f: A→B are both total and surjective?

2

4

0

1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let R⊆A×A be a relation such that R = {(a, b) ∣ a ≤ b}. Which of the following properties does R satisfy?

Symmetric only

Reflexive and transitive

Antisymmetric and symmetric

None of the choices

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given R= {(1,2),(2,3),(1,3)}, which properties does R satisfy?

Reflexive only

Transitive only

Symmetric only

None of the choices

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let f: Z→Z be defined as f(x) = x2. Is this function injective?

Yes

No, because f(2) = f(−2)

No, because it’s not surjective

Yes, because each x has a unique image

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How many binary relations on a set with 3 elements are symmetric?

29

26

24

23

Answer explanation

Explanation: 3 diagonal + 3 off-diagonal (only upper/lower triangle), 6 choices.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let A = {x, y, z}. How many reflexive and symmetric relations are possible on A?

64

32

16

8

Answer explanation

Explanation: Diagonal fixed (3), choose presence/absence of 3 off-diagonal symmetric pairs: 23 = 8, total: 23 = 8.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let f: R→R be defined by f(x) = 3x+1. Which of the following is true?

f is not a function

f is injective but not surjective

f is bijective

f is surjective but not injective

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?