Shade graphically A x B if A=(2,4] , B={3} ?

[GuidingLight]

Shade graphically A x B if A=(2,4] , B={3} ?

(A x B is cartesian product)

how can this be solved ?

 

[tkhunny]

Is A an infinite set or Real Numbers?

 

[GuidingLight]

A is interval from 2 to 4 ( 2 is open and 4 is closed)

 

[tkhunny]

So, your result would be every element in B matched with every element in A. What does that look like?

 

[GuidingLight]

A horizontal line on the coordinate system from (2,3) to (4,3) where the point (2,3) is not included. Is that correct?

 

[stapel]

A horizontal line on the coordinate system from (2,3) to (4,3) where the point (2,3) is not included. Is that correct?

Yes. I'd draw the line with an open parenthesis at the point (2, 3) and a square bracket at the point (4, 3), to indicate that the "2" is not included in A.

drawing:

^ y
|
-  (--------]
|
-
|
-
|
+--|--|--|--|--|--> x
   1  2  3  4  5

Or else use open and closed dots.