Determine the truth of statements made about given sets

[algabre y78y]

I don't know it please help

 

[MarkFL]

Here are what the various symbols mean:

[MATH]\in[/MATH] is an element of

[MATH]\subset[/MATH] is a proper subset of

[MATH]\not\in[/MATH] is not an element of

[MATH]\not\subset[/MATH] 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]

To follow up:

a) [MATH]12\in A[/MATH]
We see that 12 in deed listed as an element of set $A$, so this is true.

b) [MATH]14\not\in B[/MATH]
We see that 14 is not given as an element of set $B$, so this is true.

c) [MATH]14\not\in B[/MATH]
We see that 13 is given as an element of set $B$, so this is false.

d) [MATH]\{10,16\}\subset A[/MATH]
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) [MATH]A\not\subset B[/MATH]
We see that there are elements in set $A$ that are not in set $B$, and so this is true.

f) [MATH]B\subset A[/MATH]
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.