Q. What inequality represents this interval?(3,7]Choices:(A) 3<x≤7(B) 3<x<7(C) 3≤x≤7(D) $\(3\) \leq x < \(7\)
Identify Characteristics: Identify the characteristics of the interval (3,7]. The parenthesis '′indicatesthat$3 is not included in the interval, while the bracket '\]' indicates that 7 is included in the interval.
Translate to Inequality: Translate the interval notation into an inequality. Since 3 is not included, we use a strict inequality for 3. Since 7 is included, we use a non-strict inequality for 7.
Write Matching Inequality: Write the inequality that matches the interval. The inequality that represents the interval (3,7] is 3 < x \leq 7.