Question

Write the set of numbers in interval notation. −56 < x ≤ 34

A) (-56, 34]
B) [-56, 34]
C) (-56, 34)
D) [-56, 34]"

Answer 1

The inequality −56 < x ≤ 34 is correctly represented in interval notation as (-56, 34], which indicates that x is greater than -56 and up to and including 34.

Step-by-step explanation:

The student is asked to write the inequality −56 < x ≤ 34 in interval notation. In interval notation, parentheses indicate that an endpoint is not included, while brackets indicate that an endpoint is included. Therefore, because x is greater than −56 but not equal to it, a parenthesis is used for −56. Since x can be equal to 34, a bracket is used for 34. The correct interval notation for this inequality is (-56, 34].