How do I write z>2 and z≤8 in interva notation for union and intersection

Question

E={z | z >2}

F={z | z ≤ 8}

 

Answer 1

E:  z > 2 ... (2, ∞)

F:  z ≤ 8 ... (-∞, 8]

 

The intersection is elements contained in both sets.

E ∩ F = 2 < z ≤ 8 ... (2, 8] 

 

The union is all elements of both sets combined.

E U F = -∞ < z ≤ ∞ ... (-∞, ∞)