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Introduction to Set Theory

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

What is a set?

a)

A method of solving problems

b)

A collection of objects

c)

A 2-D shape

d)

{7}

2.

 {aba,bZ;b0} \left\{\frac{a}{b}\left|a,b\in Z;b\ne0\right|\right\}\   defines what basic set?

a)

Reals

b)

Naturals

c)

Rationals

d)

Integers

3.

What is the following symbol's name and meaning? \cup  

a)

Union- Combines two sets or intervals

b)

Union- Gives the overlap of two sets or intervals

c)

Intersection- Combines 2 sets or intervals

d)

Intersection- Gives the overlap of two sets or intervals

4.

Of the basic sets, which is the "biggest"?

a)

Real

b)

Complex

c)

Algebraic

d)

Natural

5.

 xϵ(,0)(0,)x\epsilon\left(-\infty,0\right)\cup\left(0,\infty\right)  is equivalent to  {xRxn}\left\{x\in R\left|x\ne n\right|\right\} . What is n?

a)

0

b)

1

c)

2

d)

3

6.

Which number is apart of the rational set, but not the integer set?

a)

π\pi

b)

17\frac{1}{7}

c)

6

d)

10,000,000,000,000

7.

NST stands for what?

a)

Newts Should Try

b)

New Set Theory

c)

Naïve Set Theory

d)

Never Steal, Theifs

8.

Who proved 1+1=2

a)

Gauss

b)

Euler

c)

Newton

d)

Russell

9.

Classify the following number:  2\sqrt{2}  

a)

Real

b)

Rational

c)

Irrational

d)

Integer

10.

Classify the following number: i

a)

Algebraic

b)

Real

c)

Natural

d)

Complex/Imaginary

11.

 0<n10<n\le1  Which number satisfies the following inequality?

a)

1.001

b)

 2\sqrt{2}  

c)

0.2

d)

-1

12.

{1,2,3,4,5,6} which set is a subset of this?

a)

{1,3,5}

b)

{0,1,2}

c)

{4,6,8}

d)

{1.1,2,3}

13.

 \infty  is called what geometrically?

a)

Sideways 8

b)

Lemniscate

c)

Squiggle

d)

Loops