Let A = {x : x ∈ R, x > 4} and B = {x ∈ R : x < 5}. Then, A ∩ B =
(a) \((4,5]\)
(b) \((4,5)\)
(c) \([4,5)\)
(d) \([4,5]\)
Solution
\[ A=\{x:x>4\}=(4,\infty) \]
\[ B=\{x:x<5\}=(-\infty,5) \]
Therefore,
\[
A\cap B=\{x:4
\[
=(4,5)
\]
\[
\boxed{(4,5)}
\]
Correct option: (b)
Answer