Given that S and T are sets of real numbers such that S = {x : 0 \(\leq\) x \(\leq\) 5} and T = {x : − 2 < x < 3} Find S \(\cup\) T
A
−3 < x < \(\leq\)3
B
−2< x < \(\leq\)5
C
2< x < \(\geq\) −5
D
−1< x \(\geq\) \(\leq\)2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
S = {0, 1, 2, 3, 4, 5}
T = {− 1, 0, 1, 2}
S \(\cup\) T = {− 1, 0, 1, 2, 3, 4, 5 }
⇒ − 2 < x ≤ 5
Source: Myschool Past Questions Archive (Record #40732)