Question

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

Answer 1

The answer is integer

Answer 2

X=+-6

Answer 3

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

Answer 4

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

Answer 5

so the right answer is b

Answer 6

It can't be whole due to the same reason

Answer 7

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

Answer 8

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

Answer 9

b or c ? hmm . . .

Answer 10

is it whoLe ?

Answer 11

No not whole

Answer 12

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

Answer 13

There is no negative in whole

Answer 14

the answer is b riqht ? cuss its rationaL ?

Answer 15

yes

Answer 16

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?

Answer 17

Answer is c because \[Z\in Q\]

Answer 18

Correction \[Z\subset Q\]

Answer 19

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

Answer 20

okay thanks ! :D

Answer 21

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Answer 22

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Answer 23

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Answer 24

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Answer 25

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Answer 26

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Answer 27

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Answer 28

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Answer 29

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