SOLUTION: Suppose a chemist is performing an experiment that requires the ratio of carbon (c) to hydrogen (h) to be greater than 1, but no more than 3. Which inequality describes the range

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Question 304943: Suppose a chemist is performing an experiment that requires the ratio of carbon (c) to hydrogen (h) to be greater than 1, but no more than 3. Which inequality describes the range of the ratio?


A. 1 < ch / ch < 3
B. 1 c / h < 3
C. 1 < c / h 3
D. 1 cc / h 3

Found 3 solutions by Theo, ikleyn, AnlytcPhil:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
Let c = carbon
Let h = hydrogen

The ratio of carbon to hydrogen is given by the fraction c/h.

Let r = c/h

r = the ratio of carbon to hydrogen.

If the ratio has to be greater than 1, then r > 1

If the ratio has to be no more than 3, then the ratio has to be less than or equal to 3 which becomes r <= 3

You have:

r > 1
r <= 3

Your answer should be:

r > 1 and r <= 3

or your answer should be:

1 < r <= 3

Since r = c/h, then your answers would correspond to:

c/h > 1 and c/h <= 3

or:

1 < c/h <= 3

I do not see that in any of your selections.

Check your selections again to see if any of them conform to either of these 2 answers.





Answer by ikleyn(53028)   (Show Source): You can put this solution on YOUR website!
.
Suppose a chemist is performing an experiment that requires the ratio
of carbon (c) to hydrogen (h) to be greater than 1, but no more than 3.
Which inequality describes the range of the ratio?

A. 1 < ch / ch < 3
B. 1 c / h < 3
C. 1 < c / h 3
D. 1 cc / h 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

The correct form inequality, describing the situation word-in-word should be


    1 < c/h <= 3.


No one option in your list is correct.

Would I be a CEO in the company, where some employee composes such nonsense
as this posted problem, I would fire such an employee next day.



Answer by AnlytcPhil(1810)   (Show Source): You can put this solution on YOUR website!
I think the student has not learned the difference between

LESS THAN, which is indicated by this symbol 

and

LESS THAN OR EQUAL TO, which is indicated by this symbol . 

Also this student probably has not learned the difference between

GREATER THAN, which is indicated by this symbol 

and

GREATER THAN OR EQUAL TO, which is indicated by this symbol . 

Edwin
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