Can someone help me answer my homework?

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Homework Help Overview

The original poster seeks assistance with a homework assignment involving set theory, factoring expressions, and identifying types of numbers. The problems include listing integers and irrational numbers from a given set, finding intersections and unions of sets, and factoring various algebraic expressions.

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Approaches and Questions Raised

  • Some participants question the definitions of "integers" and "irrational numbers" while others suggest clarifying the terms used in the problems. There is also a discussion about the nature of the answers provided, particularly regarding the interpretation of "3 roots of 2" and the classification of 22/7 as rational.

Discussion Status

Participants are actively engaging with the original poster's answers, noting discrepancies and seeking clarification on the problems. There is a recognition of the need for the original poster to provide their answers in a clearer format to facilitate comparison and feedback.

Contextual Notes

Some participants highlight that the original post lacks clarity in the answers provided, particularly for problems that were not initially listed. There is also an emphasis on the need for accurate definitions and interpretations of mathematical terms to avoid confusion.

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Can someone help me answer my homework??

1. List the elements of the given set that are:
(a)integers
(b)irrational numbers

{0,-10,50,22/7,0.538,square root of 7,1.233..., -1/3, 3 roots of 2}

2. Find the indicated set if:
A={1,2,3,4,5,6,7}
B={2,4,6,8}
C={7,8,9,10}

(a) A intersect B intersect C
(b) A intersect (B Union C)


3. Factor the following expression completely:

(a) x^-3/2 +2x^-1/2 + x^1/2
(b) 3x^2(4x-12)^2 + x^3(2)(4x-12)(4)
(c) x^3 + 2x^2 + x


please response to the questions ASAP tnx..
 
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jlmf_inc said:
1. List the elements of the given set that are:
(a)integers
(b)irrational numbers

{0,-10,50,22/7,0.538,square root of 7,1.233..., -1/3, 3 roots of 2}
What do you understand by the terms "integers" and "irrational numbers"?

2. Find the indicated set if:
A={1,2,3,4,5,6,7}
B={2,4,6,8}
C={7,8,9,10}

(a) A intersect B intersect C
(b) A intersect (B Union C)
What elements do the sets [tex]A \cap B[/tex] and [tex]A \cup B[/tex] comprise of?

3. Factor the following expression completely:
(a) x^-3/2 +2x^-1/2 + x^1/2
(b) 3x^2(4x-12)^2 + x^3(2)(4x-12)(4)
(c) x^3 + 2x^2 + x
Simply find the common factors of the individual terms and factor them out.
 


How can we "compare" your answers to ours if you don't post your answers?
 


Here are my answers, will anyone bother to check my answers.

1a) 0,-10,50
1b)22/7, square root of 7, 3 roots of 2

2a)Associative
2b)Commutative

3a) null/empty set
3b) 2,4,6,7

4a) (-2,1]
4b) (-1,infinite)

5.) 5-10t+t^3+-t^2-t^4

6.) (6y-7)(y+3)

7.) (4z-3)(4z-3)

8.) X^-3/2(X+1)^2

9.) 16x^2(x-3)(5x-9)

10.) x(x+1)^2
 


jlmf_inc said:
Here are my answers, will anyone bother to check my answers.

1a) 0,-10,50
1b)22/7, square root of 7, 3 roots of 2

2a)Associative
2b)Commutative

3a) null/empty set
3b) 2,4,6,7

4a) (-2,1]
4b) (-1,infinite)

5.) 5-10t+t^3+-t^2-t^4

6.) (6y-7)(y+3)

7.) (4z-3)(4z-3)

8.) X^-3/2(X+1)^2

9.) 16x^2(x-3)(5x-9)

10.) x(x+1)^2

Your answers don't tally with the questions!
 


jlmf_inc said:
Here are my answers, will anyone bother to check my answers.

1a) 0,-10,50
1b)22/7, square root of 7, 3 roots of 2
You are going to make us go back and forth between your list of questions above and answers here? it would have been far simpler to copy your previous post and then add your answer to it!

22/7 is NOT an irrational number. Since it is a fraction it is by definition rational. By the way, I would interpret "3 roots of 2" as "3 times the square root of 2" but I suspect here you mean "cube root of 2".

2a)Associative
2b)Commutative
? Problem 2 asked you to find 2 sets! You "answers" give properties of operations!

3a) null/empty set
3b) 2,4,6,7
Problem 3 asked you to factor expressions!

4a) (-2,1]
4b) (-1,infinite)

5.) 5-10t+t^3+-t^2-t^4

6.) (6y-7)(y+3)

7.) (4z-3)(4z-3)

8.) X^-3/2(X+1)^2

9.) 16x^2(x-3)(5x-9)

10.) x(x+1)^2

There are no problems 4- 10 in your original post! How can we now tell you if these are correct answers if you tell us what the problems are?
 


HallsofIvy said:
By the way, I would interpret "3 roots of 2" as "3 times the square root of 2" but I suspect here you mean "cube root of 2".

Well either way we know it is irrational. But you are right 3 roots of 2 is an odd way of saying either option.
 

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