How do I find the union and intersection using interval notation?

Question

A=x/x>=2,B=x/x>6 Please help me understand how to figure this out

Answer 1

The student was using Set Builder notation and the / should have been the vertical separation bar.

Set A  is all points such that x ≥2, and set B > 6.

 

The union of these sets is therefore all x ≥ 2.

The intersection of these sets is x > 6 because intersection means 'must be points found in both A AND B.