Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Interval \((-\infty, b]\) can be written as:
Options
A \(\{x | -\infty < x < b\}\)
B \(\{x | x \leq b\}\)
Correct Answer
C \(\{x | x \geq b\}\)
D \(\{x | -\infty < x \leq b\}\)
Correct Answer

Option B is the correct answer.

Detailed Explanation

The interval (-∞, b] includes all real numbers less than or equal to b. In set-builder notation, this is {x | x ≤ b}. Option D is also technically correct but less concise. Option B is the standard representation.

Hint

A square bracket ']' or '[' indicates inclusion of the endpoint; a parenthesis '(' or ')' indicates exclusion.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 530 of 696
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