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Exploring Sets and Notations

Authored by Vasantha Sankar

Mathematics

9th Grade

Used 1+ times

Exploring Sets and Notations
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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the set builder notation for the set of all integers that can be expressed as the sum of an even integer and a multiple of 4?

{ x | x = n^2, n ∈ ℤ }

{ x | x = 2n + 3, n ∈ ℤ }

{ x | x = 2n, n ∈ ℤ }

{ x | x = 4m + 2, m ∈ ℤ }

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine whether the set of all even integers less than 10, represented as {0, 2, 4, 6, 8}, is finite or infinite.

undefined

countable

finite

infinite

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the cardinality of the set {a, b, c, d, e, f} and explain the significance of this value in the context of set theory.

5

6

7

8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the set {x | x is a prime number less than 20} to roster notation.

{1, 4, 6, 8, 9}

{2, 3, 5, 7, 11, 13, 17, 19}

{2, 3, 5, 9, 15}

{2, 3, 5, 7, 11, 13, 17}

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Considering the properties of the set of all natural numbers, can you determine whether it is finite or infinite, and provide a justification for your answer?

infinite

finite

a set of numbers less than 100

a set of even numbers only

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cardinality of the set of all even integers between 1 and 20 inclusive?

10

5

20

15

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Express the set of all positive integers in set builder notation, ensuring to include a condition that distinguishes them from non-integers.

{x | x ∈ Z, x ≤ 0}

{x | x ∈ Z, x < 1}

{x | x ∈ R, x > 0}

{x | x ∈ Z, x > 0}

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