Sets: Venn diagram

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Ruth Hand

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Ready to use

3 years, 9 months ago

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Christian Lawson-Perfect 2 years, 6 months ago

Published this.

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Ruth Hand 3 years, 9 months ago

Gave some feedback: Ready to use

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Ruth Hand 4 years, 6 months ago

Created this as a copy of Probability: from a Venn diagram.

Name	Status	Author	Last Modified
Probability: from a Venn diagram	Ready to use	Ruth Hand	16/01/2023 13:40
Probability: Conditional Probability 1	Ready to use	Ruth Hand	16/01/2023 14:35
Sets: Venn diagram	Ready to use	Ruth Hand	16/01/2023 13:14
Probability: Conditional probability 2 - with Venn	Ready to use	Ruth Hand	16/01/2023 14:22
Sets: Set logic	Ready to use	Ruth Hand	16/01/2023 13:24
Sets: set inequality	Ready to use	Ruth Hand	16/01/2023 13:25
Sets: Set notation	Ready to use	Ruth Hand	16/01/2023 13:25
Probability: Conditional Probability 3 - without Venn	Ready to use	Ruth Hand	16/01/2023 14:20

There are 26 other versions that do you not have access to.

Question statement

The set of numbers ${1,2,3,4,5,6}$ is placed into a Venn Diagram, with subsets A and B.

{geogebra_applet('https://www.geogebra.org/m/bbxqgrar',[a:{A}, b:{B},c:{both}])}

Give any introductory information the student needs.

			Name	Type	Generated Value

A	set	set(1,2,4)
B	set	set(1,2,6)
justA	set	set(4)
justB	set	set(6)
both	set	set(1,2)
AuB	set	set(1,2,4,6)
neither	set	set(3,5)

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
set(sort(repeat(random(1..6),5)))

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `set`

set(1,2,4)

→ Used by:

AuB
both
justA
neither

Statement
Advice
"Part b)" - Correct answer

List of numbers

Ask the student a question, and give any hints about how they should answer this part.

Write the numbers contained in the set $A \cup B $

Help with this part type

Marks

Show correct answer on reveal?

Show score feedback icon?

Correct answer

xxxxxxxxxx
 
AuB

The list of numbers that the student should enter. The order does not matter.

Allow the student to enter fractions?

Display the correct answers as fractions?

Is the answer a set?

If ticked, the number of times an element occurs doesn't matter, only whether it's included at all.

Show the input hint?

Separator

The substring that should separate items in the student's list

Advice

Part a)

$A \cup B$, said as 'A union B', is the set of values that are in EITHER set A OR set B.

$A = \var{A}$ and $B = \var{b}$

therefore $A \cup B = \var{AuB}$ (note that the order of the numbers doesn't matter in a set, but it is standard to remove repeats).

Part b)

$A^c$, said as 'the complement of A', is the subset of $\{1,2,3,4,5,6\}$ that are NOT in the subset A.
Strictly speaking this is the 'absolute complement', but usually referred to as the 'complement' if the meaning is clear.

Part c)

$A \cap B^c$ is 'A intersection not B'.

Remember that 'intersection of C and D' means the set of values that are in both C and D.

Therefore we need the set of values that are in both A and 'not B'.

$A = \var{A}$ and $B^c = \var{set(1,2,3,4,5,6)-B}$, therefore $A \cap B^c = \var{justA}$

Part d)

This requires quite a bit of thinking about.

$(A^c \cup B)^c$ is the complement of the set 'not A AND B'.

Let's first find $(A^c \cup B) = \var{set(1,2,3,4,5,6)-A} \cup \var{B} = \var{set(set(1,2,3,4,5,6)-A+B)}$

Now take the complement, $(A^c \cup B)^c = \var{justA}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
List of numbers
List of numbers		Hasn't run yet
List of numbers
List of numbers		Hasn't run yet
List of numbers
List of numbers		Hasn't run yet
List of numbers
List of numbers		Hasn't run yet

This question is used in the following exams:

Sets TS by Ruth Hand in MASH Bath: Moodle quizzes and TS.
Week 8 e-quiz by Ruth Douglas in Ruth's workspace.
SetsRevise by Nina Strydom in Nina's workspace.
Mathematical Sciences Training Space by Ben McGovern in MASH Bath: Moodle quizzes and TS.
CMPU1018-Sets & Functions by Blathnaid Sheridan in Blathnaid's workspace.
Sets by leo carlsson in Intro to DS ADS.
Computer Science Training Space by Ben McGovern in MASH Bath: Moodle quizzes and TS.
Natural Sciences Training Space by Ben McGovern in MASH Bath: Moodle quizzes and TS.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 6 months ago

Ruth Hand 3 years, 9 months ago

Ruth Hand 4 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: `set`

Parts

List of numbers

Loading...

Error

Sets: Venn diagram

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 6 months ago

Ruth Hand 3 years, 9 months ago

Ruth Hand 4 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: set

Parts

List of numbers

Generated value: `set`