Sets: Set logic

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Ruth Hand

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Ruth Hand

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Ready to use

3 years, 8 months ago

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Christian Lawson-Perfect 2 years, 6 months ago

Published this.

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Ruth Hand 3 years, 8 months ago

Gave some feedback: Ready to use

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Ruth Hand 3 years, 9 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

Given that

$\var{n[0]} =\var{Awrite}$

and

$\var{n[1]} = \var{Bwrite}$

Give any introductory information the student needs.

			Name	Type	Generated Value

length	list	[ 5, 2 ]
A	list	[ 3, 4, 5 ]
B	list	[ 2, 4 ]
justA	list	[ 3, 5 ]
justB	list	[ 2 ]
AnB	list	[ 4 ]
AuB	list	[ 2, 3, 4, 5 ]
n	list	[ "U", "V" ]
AWrite	string	[ 3, 4, 5 ]
Bwrite	string	[ 2, 4 ]
notAnB	list	[ 2 ]
trueorfalse	list	List of 6 items
trueorfalseans	list	[ 0, 0, 1, 1, 0, 0 ]
t1	string	<p>$\var{n[0]} \subset \var{n[
t2	string	<p>$\var{n[0]} \subseteq \var{
t3	string	<p>$\var{n[0]} \not \subseteq
t4	string	<p>$\var{n[0]} \not \subset \v
t5	string	<p>$\var{A[0]} \in \var{n[1]}$
t6	string	<p>$\var{B[1]} \notin \var{n[0

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
[random(2..5), random(2..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: `list`

[ 5, 2 ]

→ Used by:

List of numbers

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

Find the set $\var{n[0]} \cap \var{n[1]}$

Help with this part type

Marks

Show correct answer on reveal?

Show score feedback icon?

Correct answer

xxxxxxxxxx
 
AnB

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)

$\var{n[0]} \cap \var{n[1]}$ is read as 'the intersection of $\var{n[0]}$ and $\var{n[1]}$', which means 'the values that occur in both $\var{n[0]}$ and $\var{n[1]}$'.

part b)

$\var{n[0]} \cup \var{n[1]}$ is read as 'the union of $\var{n[0]}$ and $\var{n[1]}$', which means 'the values that occur in either $\var{n[0]}$ or $\var{n[1]}$ or both'.

part c)

This question checks your understanding on the notation:

$\subset$ means "is a proper subset of" (i.e. each element of $\var{n[0]}$ is contained within $\var{n[1]}$ but the set $\var{n[0]}$ is smaller than $\var{n[1]}$)
$\subseteq$ means "is a subset of" (i.e. each element of $\var{n[0]}$ is contained within $\var{n[1]}$)
$\not \subset$ means "is not a subset of"
$\not \subseteq$ means "is not a proper subset of" (but it could be a subset of)
$ \in$ means "is contained within"
$\notin$ means "is not contained within"

Give a worked solution to the whole question.

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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
Choose several from a list
Choose several from a list		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.
Mathematical Sciences Training Space by Ben McGovern in MASH Bath: Moodle quizzes and TS.
Sets by leo carlsson in Intro to DS ADS.
MA1061. Assignment 1. 2024 by Paul Ledger in Paul's workspace.
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

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Checkpoint description

Christian Lawson-Perfect 2 years, 6 months ago

Ruth Hand 3 years, 8 months ago

Ruth Hand 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

List of numbers

Loading...

Error

Sets: Set logic

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, 8 months ago

Ruth Hand 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

List of numbers

Generated value: `list`