Set 2-2

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Mark Hodds

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Mark Hodds 8 years, 5 months ago

Created this as a copy of set4-.

Name	Status	Author	Last Modified
set4-	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:51
Set 2-2	draft	Mark Hodds	30/10/2016 20:03
Luis's copy of set4-	draft	Luis Hernandez	30/11/2018 17:35

There is one other version that you do not have access to.

Question statement

Enumerate each of the following sets.

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).

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
b	integer	8
c	integer	8
ans1	set	set(-8,-4,0,4,8)
ans2	set	set(4,8)
a1	integer	3
b1	integer	6
c1	integer	6
ans3	set	set(0,1,2,3,4)
ans4	set	set(1,2,3,4)
a2	integer	2
b2	integer	3
c2	integer	10
a3	integer	14
b3	integer	12
c3	integer	7
g	number	2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..6)

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:

a1
ans1

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
Part b) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add

Gap-fill

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

1) $S=\{y\;|\;y \in \mathbb{Z}, y=\var{a}x-\var{c},\;x \in \mathbb{Z}\text{ and } |y| \leq \var{b}\}$

$S\;$ =Gap 0.

2) $S=\{y\;|\;y \in \mathbb{N}, y=\var{a}x-\var{c},\;x \in \mathbb{Z}\text{ and } |y| \leq \var{b}\}$

$S\;$ =Gap 1.

3) $S=\{x\:| x \in \mathbb{Z}\text{ and }\;|\var{a1}x-\var{c1}| \leq \var{b1}\}$ .

$S=\;$ Gap 2.

4) $S=\{x\:| x \in \mathbb{N}\text{ and }\;|\var{a1}x-\var{c1}| \leq \var{b1}\}$ .

$S=\;$ Gap 3.

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

This question is used in the following exams:

Sets by Mark Hodds in 101MP 2018.
101MP 2019 - Sets Week 5 by Mark Hodds in 101MP 2018.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Mark Hodds 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Set 2-2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Mark Hodds 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`