Question

Which of the following has no solution?

a.(x + 1 < -1) ∩ (x + 1 < 1)
b.(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
c.(x + 1 < 1) ∩ (x + 1 > 1)

Answer 1

a.(x + 1 < -1) ∩ (x + 1 < 1)
(x < -2) ∩ (x < 0) = (x < -2)

b.(x ≤ 0) ∩ (x ≥ 0) = {0}

c.(x < 0) ∩ (x > 0) = Ф

Option C has no solution.