Q. What interval does this inequality represent?3<x≤6Choices:(A) [3,6](B) [3,6)(C) (3,6)(D) (3,6]
Identify Endpoints: Identify the endpoints of the interval for the inequality 3 < x \leq 6. The endpoints are 3 and 6.
Check Inclusion: Check whether the endpoints are included or not. In the inequality 3 < x \leq 6, 3 is not included because the inequality is strict (3 < x), but 6 is included because the inequality is non-strict (x≤6).
Determine Interval: Determine the interval that the inequality 3 < x \leq 6 represents. Since 3 is not included, we use a parenthesis. Since 6 is included, we use a bracket. The interval is therefore (3,6].