Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Interval \((-\infty, b]\) can be written as
Options
A \(\{x \mid -\infty \leq x < b\}\)
B \(\{x \mid x \leq b\}\)
Correct Answer
C \(\{x \mid x \geq b\}\)
D \(\{x \mid -\infty < x \leq b\}\)
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 correct but less concise. B is standard.

Hint

A square bracket indicates inclusion of the endpoint.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 618 of 696
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