Which of the following collection of objects CANNOT be considered as a well-defined set? A. All students in your class who are smaller than 5 feet. B. All students of HAU who are good singers. C. All students of HAU with average IQ. D. All students of HAU with ID number ending in 0.   2. Each of the following sets is countably infinite except? A. The set of all even numbers B. The set of rational numbers C. The set of real numbers D. The set of integers

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PLEASE ANSWER 1, 2, AND 3 QUESTIONS

 

1. Which of the following collection of objects CANNOT be considered as a well-defined set?

A. All students in your class who are smaller than 5 feet.

B. All students of HAU who are good singers.

C. All students of HAU with average IQ.

D. All students of HAU with ID number ending in 0.

 

2. Each of the following sets is countably infinite except?

A. The set of all even numbers

B. The set of rational numbers

C. The set of real numbers

D. The set of integers

 

3. Let A= {−3, −2, −1, 0, 1, 2, 3}

Which of the following sets is an improper subset of A?

A. B = {x: −3 ≤ x ≤ 3, ? ∈ ℤ}

B. B = {x: −3 ≤ x ≤ 3}

C. B = {x: −3 ≤ x ≤ 3, ? ∈ ℝ}

D. B = {x: −3 ≤ x ≤ 3, ? ∈ ℕ}

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