Given the Set Sketched on the Number Line, Identify the Type

question 110

Multiple Choice

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite) , write the set using set-builder notation, and write the set using interval notation.
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• A) open interval; \(\{ x \mid 5 < x < 8 \} ; ( 5,8 )\)
• B) half-open interval; \(\{ x \mid 5 \leq x < 8 \} ; [ 5,8 )\)
• C) closed interval; \(\{ x \mid 5 \leq x \leq 8 \} ; [ 5,8 ]\)
• D) half-open interval; \(\{ x \mid 5 < x \leq 8 \} ; ( 5,8 ]\)

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Definitions:

Integer

A whole number that can be positive, negative, or zero.

Whole Numbers

A set of positive numbers that include zero and all the positive integers without fractions or decimals.

Less Than

A mathematical symbol (<) used to compare two values, indicating that the value on the left is smaller than the value on the right.

Answer Report

A summary or output generated by software, typically in response to queries or data analysis requests.