## anonymous 5 years ago Identify the correct categories for the solution to the following equation. I. Natural II. Whole III. Integer IV. Rational V. Irrational x²=36 a.)1 and II b.)III and IV c.)II, III, and IV d.)II and III

1. anonymous

2. anonymous

X=+-6

3. anonymous

i'm pretty sure it's neither natural nor irrational. it's ineteger because x²=36 -> x=-6 or x=6 so you can eliminate choice a and c

4. anonymous

It can't be Natural, due to the presence of -6

5. anonymous

so the right answer is b

6. anonymous

It can't be whole due to the same reason

7. anonymous

You can call it rational, but integer is a better option

8. anonymous

So the answer having both rational and integer is the right one

9. anonymous

b or c ? hmm . . .

10. anonymous

is it whoLe ?

11. anonymous

No not whole

12. anonymous

Whole means 0,1,2,3......................

13. anonymous

There is no negative in whole

14. anonymous

the answer is b riqht ? cuss its rationaL ?

15. anonymous

yes

16. nowhereman

You can solve that equation in any of those categories, but irrational makes no sense as there are constants (2 and 36) in the equation, that are not irrational. All the others are ok. Of course you will get sometimes more solutions and sometimes less. But the equation itself does not tell you which category you should take. And you could always define a bigger category with still more solutions. (For example you have a solution in ℝ^2: $\begin{pmatrix}5\\\sqrt{11}\end{pmatrix}^2 =\begin{pmatrix}5\\\sqrt{11}\end{pmatrix}\cdot\begin{pmatrix}5\\\sqrt{11}\end{pmatrix} = 36$ Oh and what your the difference between whole and integer numbers? So why is the answer b and not c?

17. anonymous

Answer is c because $Z\in Q$

18. anonymous

Correction $Z\subset Q$

19. anonymous

yes i think you're right i googled about whole number and it's almost the same as integer so the right answer is c

20. anonymous

okay thanks ! :D

21. anonymous

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22. anonymous

Is this the question?

23. anonymous

I am sorry,

24. anonymous

This not the question

25. anonymous

There is some problem with the site

26. anonymous

27. anonymous
28. anonymous
29. anonymous