Express the set $\{x : x \in \mathbb{R}, -5 < x \le 7\}$ in interval notation.
A$(-5, 7)$
B$[-5, 7]$
C$(-5, 7]$
D$[-5, 7)$
Answer & Solution
Correct answer: C. $(-5, 7]$
Strict $<$ → open (parenthesis). Non-strict $\le$ → closed (bracket).
- $-5 < x$: open at $-5$ → $(-5, \ldots$
- $x \le 7$: closed at $7$ → $\ldots, 7]$
Result: $(-5, 7]$.
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