F and H are sets of real numbers...

Question

F={x | x > 4}

H={x | x >= 6}

Write F^H and FvH using interval notation.

if the set is empty, write 0.

F^H=[]

FvH=[]

Answer 1

F = {x l x > 4} and H = {x l x ≥ 6}

F ∩ H = set of all numbers in both F and H = {x l x ≥ 6} = [6, ∞)

F ∪ H = set of all numbers in at least one of the sets = {x l x > 4} = (4, ∞)