Can someone help me answer my homework?

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The discussion revolves around a request for homework help, specifically in identifying integers and irrational numbers from a given set, finding intersections and unions of sets, and factoring expressions. Participants point out errors in the original poster's answers, particularly noting that 22/7 is rational and not irrational, and that the answers provided for set operations do not align with the questions asked. There is confusion regarding the interpretation of "3 roots of 2," with suggestions that it could refer to either three times the square root of 2 or the cube root of 2. The conversation highlights the importance of clarity in both questions and answers for effective assistance. Overall, the thread emphasizes the need for accurate responses to mathematical problems.
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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 A \cap B and A \cup B 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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