Determine the truth of statements made about given sets

algabre y78y

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11666I don't know it please help
 

MarkFL

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Here are what the various symbols mean:

\(\displaystyle \in\) is an element of

\(\displaystyle \subset\) is a proper subset of

\(\displaystyle \not\in\) is not an element of

\(\displaystyle \not\subset\) is not a proper subset of

Do you understand how to determine if a given element is an element of a set, or if one set is the proper subset of another set?
 

MarkFL

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To follow up:

a) \(\displaystyle 12\in A\)

We see that 12 in deed listed as an element of set \(A\), so this is true.

b) \(\displaystyle 14\not\in B\)

We see that 14 is not given as an element of set \(B\), so this is true.

c) \(\displaystyle 14\not\in B\)

We see that 13 is given as an element of set \(B\), so this is false.

d) \(\displaystyle \{10,16\}\subset A\)

We see that both 10 and 16 are elements of set \(A\) and that set \(A\) has elements other than these two, and so this is true.

e) \(\displaystyle A\not\subset B\)

We see that there are elements in set \(A\) that are not in set \(B\), and so this is true.

f) \(\displaystyle B\subset A\)

We see that all elements of set \(B\) are also in set \(A\) and that there are elements in set \(A\) that are not in set \(B\) and so this is true.
 
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