Question

Which of the following has no solution?

(x + 1 < -1) ∩ (x + 1 < 1)
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
(x + 1 < 1) ∩ (x + 1 > 1)

Answer 1

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) (the second option)

Explanation:

there are no elements that are contained in all of the intervals thus making the second expression have no solution