Sets: set inequality

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From users who are members of MASH Bath: Question Bank :

Ruth Hand

said

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 Sets: Set logic.

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

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

x	expression	n
numb1	integer	6
numb2	integer	4
numb3	integer	9
ans	list	[ 4, 5, 6 ]

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Value

xxxxxxxxxx
 
expression(random(['x','y','z','n']))

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Description

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

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Generated value: `expression`

→ Used by:

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"Unnamed part" - prompt

Parts

List of numbers

List of numbers

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

Write all values in the following set:

$\{\var{x} \in \mathbb{Z} | \var{x} \le \var{numb1}\} \cap \{ \var{x} \in \mathbb{R} | \var{numb2} \le \var{x} < \var{numb3} \}$

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Correct answer

xxxxxxxxxx
 
ans

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

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$\{\var{x} \in \mathbb{Z} | \var{x} \le \var{numb1}\} \cap \{ \var{x} \in \mathbb{R} | \var{numb2} \le \var{x} < \var{numb3} \}
$

is the intersection of two sets

$\{\var{x} \in \mathbb{Z} | \var{x} \le \var{numb1}\}$,
which is "the set of integers that are less than or equal to $\var{numb1}$"

and

$\{ \var{x} \in \mathbb{R} | \var{numb2} \le \var{x} < \var{numb3} \}$ which is "the set real numbers that are greater than or equal to $\var{numb2}$ and strictly less than $\var{numb3}$"

Since the integers are a subset of the real numbers we need only consider only integers.
Write the list of integers that satisfies the inequalities $\var{x} \le \var{numb1}$ and $\var{numb2} \le \var{x} < \var{numb3}$

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List of numbers
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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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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

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Warning

Generated value: `expression`

Parts

List of numbers

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Sets: set inequality

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: expression

Parts

List of numbers

Generated value: `expression`