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

i think it's c? but i'm not entirely sure.

Answer 2

\[(x + 1 < 1) ∩ (x + 1 > 1)\]
\[(x < 0 ) ∩ (x > 0 )\]

the union of x less than zero and x greater than zero is
\[x≠0\]

so all real numbers are solutions except zero

Answer 3

Thank you so much for the explanation, my lesson on this wasn't helpful at all. Thanks again:)

Answer 4

a), b), c) all have solutions ,

Answer 5

for a) the solution set is all negative numbers
for b) the solution set is all real numbers