set3

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Bill Foster

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Ready to use

9 years, 5 months ago

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Bill Foster 9 years, 5 months ago

Gave some feedback: Ready to use

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Bill Foster 9 years, 5 months ago

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Name	Status	Author	Last Modified
set3	Ready to use	Bill Foster	01/06/2016 09:47
Union, complement, intersection	Ready to use	Peter Chapman	04/12/2024 12:31
java	draft	Marlon Arcila	19/10/2016 17:45
Union, complement, intersection v2	Ready to use	Peter Chapman	16/04/2024 14:25
Blathnaid's copy of set3	draft	Blathnaid Sheridan	27/02/2017 14:49
Set theory: Union and Intersection	draft	Gabriele De Chiara	06/06/2017 15:41
Andrew's copy of Set theory: Union and Intersection	draft	Andrew Dunbar	30/06/2017 21:45
Andrew's copy of java	draft	Andrew Dunbar	30/06/2017 22:03
Andrew's copy of Union, complement, intersection v2	draft	Andrew Dunbar	30/06/2017 22:03
Lois's copy of Union, complement, intersection v2	draft	Lois Rollings	13/08/2020 09:22
Union, Complement and Intersection of Sets	draft	Deirdre Casey	02/10/2017 22:25
Hollie's copy of Union, Complement and Intersection of Sets	draft	Hollie Tarr	26/11/2017 16:10
Ensemble : unions, intersections et complémentaires	draft	Jeanne Parmentier	02/12/2020 15:42
Blathnaid's copy of Union, complement, intersection	draft	Blathnaid Sheridan	31/03/2022 10:35
Union, complement, intersection	draft	Xiaodan Leng	11/07/2019 06:30

There are 20 other versions that do you not have access to.

Question statement

In this question, the universal set is $\mathcal{U}=\{x \in \mathbb{N}\; | \;x \leq \var{a}\}$ .

Let:

$A=\{x \in \mathbb{N}\;|\;\var{b}\leq x \leq \var{c}\}$ .

$B=\{x \in \mathbb{N}\;|\;x \gt \var{d}\}$ .

$C=\{ x \in \mathbb{N}\;|\; x \text{ divisible by } \var{f}\}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	15
b	integer	6
c	integer	16
d	integer	10
f	integer	6
universal	set	Set of 15 items
set1	set	Set of 11 items
set2	set	set(11,12,13,14,15)
set3	set	set(6,12)

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(15..30)

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: `integer`

→ Used by:

c
set2
set3
universal

This variable doesn't seem to be used anywhere.

Parts

Gap-fill

Gap-fill

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

Enumerate the following sets:

a) $A \cap B=\;$ Gap 0.

b) $B \cap C=\;$ Gap 1.

c) $A \cap \overline{C}=\;$ Gap 2.

d) $(\overline{A} \cup C) \cap B=\;$ Gap 3.

e) $\overline{A \cup C} \cap \overline{B}=\;$ Gap 4.

f) $(A \cup \overline{B}) \cap C=\;$ Gap 5.

Note that you input sets in the form set(a,b,c,..,z) .

For example set(1,2,3)gives the set $\{1,2,3\}$ .

The empty set is input as set().

Also some labour saving tips:

If you want to input all integers between $a$ and $b$ inclusive then instead of writing all the elements you can input this as set(a..b).

If you want to input all integers between $a$ and $b$ inclusive in steps of $c$ then this is input as set(a..b#c). So all odd integers from $-3$ to $28$ are input as set(-3..28#2).

Advice

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?
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Gap-fill		Hasn't run yet
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Mathematical expression
Mathematical expression		Hasn't run yet
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Mathematical expression
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Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Predicates and sets by Bill Foster in Bill's workspace.
James's copy of Predicates and sets by James Eustace in James's workspace.
Ma2_diskret by Tore Gaupseth in Tore's workspace.
CMPU1018 Reassessment by Blathnaid Sheridan in Blathnaid's workspace.
Ryan's copy of Predicates and sets by Ryan Poling in Ryan's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Checkpoint description

Bill Foster 9 years, 5 months ago

Bill Foster 9 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

set3

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Bill Foster 9 years, 5 months ago

Bill Foster 9 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`