Interval Notation

Question

Let A = {x element R|-2 less than or equal to x less than or equal to 2} and B = {x element R|3 < x < 11}

 

Find A union B

Findi A intersection B

 

show it in interval notation 

 

Thanks

Answer 1

A∪B = A union B is the set of all elements that are in A or in B or in both sets

 

A∩B = A intersect B is the set of elements that A and B have in common

 

So, A∪B = {x l -2 ≤ x ≤ 2 or 3 < x < 11}

 

            = [-2, 2] ∪ (3, 11)

 

     A∩B = {x l -2 ≤ x ≤ 2 and 3 < x < 11} = { }= the empty set