D and E are sets of real numbers defined as follows.

Question

D= {zIz ≥3}
E= {zlz <5}

Write F U H and F n H using interval notation. If the set is empty, write Ø

Answer 1

If you mean  D U E   and D ∩ E then:

 

D U E = z≥3 U z<5

everything greater than or equal to 3 combined with

everything less than 5 is all real numbers

D U E = (-∞, ∞)

 

 D ∩ E is

 z≥3 ∩  z<5

All numbers that are both greater than or equal to 3

and less than 5

D ∩ E = [3, 5)