The interval that represents the inequality 1 < x ≤ 6 is given by:
B. (1,6].
The standard interval notation of an interval of lower bound a and upper bound b is given by:
[a,b].
The inequality notation is:
a ≤ x ≤ b
The set builder notation is:
{x | a ≤ x ≤ b}.
In this problem, we are given the inequality 1 ≤ x ≤ 6, hence a = 1 and b = 6, and open at x = 1 and closed at x = 6, hence the interval is:
B. (1,6].
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