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OpenStudy (camerondoherty):
The equation below shows the perimeter f(x) of several rectangular side tables having width x inches:
f(x) = 24 + 2x
The perimeter of each table is less than 50 inches. Which of the following best describes the domain of f(x)?
All integers greater than 0 and less than 13
All integers greater than 0 and less than 50
All real numbers greater than 0 and less than 13
All real numbers greater than 0 and less than 50
OpenStudy (here_to_help15):
:P
OpenStudy (camerondoherty):
Can someone show me how to do this plz?
OpenStudy (here_to_help15):
f(x) <=50
f(x) = 24 + 2x
50 <= 24 + 2x
I've got the problem started, can you do the next steps to isolate x?
OpenStudy (camerondoherty):
sure
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OpenStudy (camerondoherty):
\[74\le2x\]
\[74\div2=37\]
\[37\le~x\]
OpenStudy (here_to_help15):
wait a sec?
OpenStudy (here_to_help15):
wouldn't u subtract 24 not add?
OpenStudy (camerondoherty):
whoops lol
OpenStudy (here_to_help15):
yeah hahaha :)
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OpenStudy (camerondoherty):
\[26\le2x\]\[26\div2\]\[13\]\[13\le~x\]
OpenStudy (here_to_help15):
yeah :P
OpenStudy (camerondoherty):
So which one iz it?
OpenStudy (here_to_help15):
lemme see :P
OpenStudy (here_to_help15):
i would mostly believe that it would be A,but do not be to sure.
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OpenStudy (camerondoherty):
i need to be 100% sure
OpenStudy (here_to_help15):
well we have to decide between an integer or real number hmmm
OpenStudy (here_to_help15):
i feel like i failed:(
OpenStudy (math&ing001):
You should get x<=13 from that inequality, and since the width can't be negative x is greater than 0 and less than 13.
OpenStudy (camerondoherty):
what does <= look like? \[\ge \]or \[\le \]
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OpenStudy (math&ing001):
The second.
OpenStudy (camerondoherty):
Oh ok so i did it wrong lol... So what is the next step after tht
OpenStudy (here_to_help15):
I did it wrong :'(
OpenStudy (math&ing001):
Well that's it, there is no next step. The solution is all the real numbers greater than 0 and less that 13.
OpenStudy (camerondoherty):
Oh ok thank You @math&ing001! I really Appreciate it
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