SOLUTION: Let X=R, A=[0,5), B=(3,6], D=[3,5] Find (AuB) n D I think AuB = [0,3] and (AuB)n D = [0,3] n [3,5] but I don't know where to go from here or if I am on the right track. I see

Algebra ->  sets and operations -> SOLUTION: Let X=R, A=[0,5), B=(3,6], D=[3,5] Find (AuB) n D I think AuB = [0,3] and (AuB)n D = [0,3] n [3,5] but I don't know where to go from here or if I am on the right track. I see      Log On


   

Question 1015719: Let X=R, A=[0,5), B=(3,6], D=[3,5]
Find (AuB) n D
I think AuB = [0,3] and (AuB)n D = [0,3] n [3,5] but I don't know where to go from here or if I am on the right track. I see that both sets have 3 in common but the closed interval notations are confusing. Thanks to anyone who can help :)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No.
A is from 0 to 5 not including 5.
B is from 3 to 6 including 6.
So A together with B would be 0 to 6 including 0 and 6.
A U B = [0,6]
Intersecting with D would give you elements that (A U B) and D have in common.
Since D goes from 3 to 5 inclusively, then the elements they have in common are 3 to 5 inclusively.
(A U B) n D=[3,5]