I have three questions I need to solve. I'm doing a course on sets,relations, functions and these questions are dealing with sets. These are the questions because I don't know how to do the special symbols with my keyboard.
To learn how to typeset math as text, try
here. For now, the following will do:
2. Let D = {x is a real number | -10 < x < 2}, E = {x is a real number | -5
< x
< 2}, and F = {x is a real number | 0 < x
< 6}. Describe (D intersect E) \ F in interval notation. Show your work on number lines.
9. Let A = {x is a real number | -5 < x
< 5}, B = {x is a real number | 0
< x < 5}, and C = ]-2, 4[. Perform the set operations C \ (A intersect B), and express the result in set-builder notation. Show your work on number lines.
8. Let A = {x is a real number | 0
< x
< 6}, B = {x is a real number | -5 < x < 5}, and C = {x is a real number | -2
< x < 2. Perform the set operations A intersect (B \ C), and express the result in interval notation. Show your work on number lines.
For (9), what is your book's meaning for the set C? Is that "the interval from -2 to 4, with -2 and 4 not included within the interval"? Are we supposed to conclude anything from the lack of a specification of x being a real number?
For each of these, you're supposed to start with number lines. Are you able to do this part?
Thank you!
