Question on: JAMB Mathematics - 2015
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
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Correct Option: B
The question asks for the union of two sets, S and T. The union of two sets includes all elements that are in either set or both sets.
* Set S contains all real numbers x such that 0 <= x <= 5.
* Set T contains all real numbers x such that -2 < x < 3.
To find the union of S and T, we combine the intervals of both sets. The smallest value in either set is just above -2 (from T), and the largest value is 5 (from S). The combined range includes all x values from just above -2 up to and including 5.
Therefore, S ∪ T = {x : -2 < x <= 5}.
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