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Want to review Set Theory but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different Set Theory flashcards! Our Set Theory flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous Set Theory flashcards.

Flashcards: Axiomatic Set Theory

Let denote all straight lines in the Cartesian plane. Does , , or both belong to ?

$\\S\begin{Bmatrix} (x,y): y=2x+7 \end{Bmatrix} \\T\begin{Bmatrix} 2,4,6,9 \end{Bmatrix}$

$A\subseteq T$

$T\subseteq A$

$S\subseteq A$

$\text{Neither belong to A}$

$S,T \subseteq A$

Report an Error Copyright Notice

Flashcards: Axiomatic Set Theory

Let denote all straight lines in the Cartesian plane. Does , , or both belong to ?

$\\S\begin{Bmatrix} (x,y): y=2x+7 \end{Bmatrix} \\T\begin{Bmatrix} 2,4,6,9 \end{Bmatrix}$

Your answer:

$A\subseteq T$

Your answer:

$T\subseteq A$

Your answer:

$\text{Neither belong to A}$

Your answer:

$S,T \subseteq A$

Correct answer:

$S\subseteq A$

Explanation:

is a set that contains all straight lines that live in the Cartesian plane, this is a vast set. To determine if , , or both belong to , identify if the elements of each set create a straight line, and if so, then that set will be a subset of . In other words, the set will belong to .

Identify the elements in first.

$\\S\begin{Bmatrix} (x,y): y=2x+7 \end{Bmatrix}$

This statement reads, contains the (x,y) coordinate pairs that live on the line y=2x+7 .

Since

y=2x+7 is a straight line that lives in the Cartesian plane, that means belongs to .

Now identify the elements in .

$T\begin{Bmatrix} 2,4,6,9 \end{Bmatrix}$

This means that the elements of are 2, 4, 6, and 9. These are four, individual, values that belong to $\mathbb{N}$ . They do not create a line in the Cartesian plan and thus does not belong to .

Therefore, answering the question, belongs to .

$S\subseteq A$

Flashcards: Axiomatic Set Theory

Let denote all parabolas in the Cartesian plane. Does , , or both belong to ?

$\\S\begin{Bmatrix} (x,y): y=2x^2\end{Bmatrix} \\T\begin{Bmatrix} (x,y):y=-x+1 \end{Bmatrix}$

$T\subseteq A$

$A\subseteq T$

$S\subseteq A$

$\text{Neither belong to A}$

$S,T \subseteq A$

Report an Error Copyright Notice

Flashcards: Axiomatic Set Theory

Let denote all parabolas in the Cartesian plane. Does , , or both belong to ?

$\\S\begin{Bmatrix} (x,y): y=2x^2\end{Bmatrix} \\T\begin{Bmatrix} (x,y):y=-x+1 \end{Bmatrix}$

Your answer:

$T\subseteq A$

Your answer:

$A\subseteq T$

Your answer:

$\text{Neither belong to A}$

Your answer:

$S,T \subseteq A$

Correct answer:

$S\subseteq A$

Explanation:

is a set that contains all parabolas that live in the Cartesian plane, this is a vast set. To determine if , , or both belong to , identify if the elements of each set create a straight line, and if so, then that set will be a subset of . In other words, the set will belong to .

Identify the elements in first.

$\\S\begin{Bmatrix} (x,y): y=2x^2 \end{Bmatrix}$

This statement reads, contains the (x,y) coordinate pairs that live on the parabola y=2x^2 .

Since

y=2x^2 is a parabola that lives in the Cartesian plane, that means belongs to .

Now identify the elements in .

$T\begin{Bmatrix} (x,y):y=-x+1 \end{Bmatrix}$

This means that the elements of are those that live on the straight line y=-x+1 . Thus does not create a parabola in the Cartesian plan therefore does not belong to .

Therefore, answering the question, belongs to .

$S\subseteq A$

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All Set Theory Resources

Flashcards: Axiomatic Set Theory

Flashcards: Axiomatic Set Theory

Flashcards: Axiomatic Set Theory

Flashcards: Axiomatic Set Theory

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DMCA Complaint

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K-8

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All Set Theory Resources

Flashcards: Axiomatic Set Theory

Flashcards: Axiomatic Set Theory

Flashcards: Axiomatic Set Theory

Flashcards: Axiomatic Set Theory

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

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