Mathematics
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OpenStudy (anonymous):
3(w+3)<9-3w
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hartnn (hartnn):
whats your attempt ?
OpenStudy (anonymous):
Try distributing the \(3\) into \((w+3)\) and then collect like terms
OpenStudy (anonymous):
3w-9<9-3w
OpenStudy (anonymous):
Or is it +9 on the left
hartnn (hartnn):
3(w+3) gives out 3w+9 :)
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OpenStudy (anonymous):
sorry it's supposed to be -3(w+3)<9-3w
hartnn (hartnn):
thats would give out
-3*w -3*3 = .... ?
OpenStudy (anonymous):
So it's all real numbers
hartnn (hartnn):
what did u get in the end ?
-9<-9
right ?
OpenStudy (anonymous):
yeah
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hartnn (hartnn):
is that true ?
hartnn (hartnn):
i mean is -9 less than -9 ?
OpenStudy (anonymous):
No
hartnn (hartnn):
correct, its False
so for no value of w , would you get 3(w+3)<9-3w
which means there is NO soultion
hartnn (hartnn):
got that ? doubts ?
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OpenStudy (anonymous):
3w-9<9-3w but this is the same so it would be all real numbers
hartnn (hartnn):
want to try a value ?
0 is a real number, right ?
what u get if you put w=0 ?
hartnn (hartnn):
oh wait, my bad
you would have gor
-9<9
actually!
right ?
hartnn (hartnn):
**got
OpenStudy (anonymous):
yes:)
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hartnn (hartnn):
-3(w+3)<9-3w
-3w -9 <9-3w
-9<9
which is aleays true!
hartnn (hartnn):
**always
so yes, the solution is all real numbers :)
OpenStudy (anonymous):
How would you solve |b|=2/3
hartnn (hartnn):
ok, when
|x| =y
then
x=y or x=-y
so what about
|b| =2/3 ?
OpenStudy (anonymous):
b=2/3,−2/3
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hartnn (hartnn):
correct! :)
OpenStudy (anonymous):
ok Thanks:)
hartnn (hartnn):
welcome ^_^
OpenStudy (anonymous):
My paper says to graph. How in the world would I graph It's an equation not an inequality
hartnn (hartnn):
graph of |b| =2/3 ?
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OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
Is that possible
hartnn (hartnn):
well, yes
those are just 2 points
2/3 and -2/3
so you plot (2/3,2/3) and (-2/3,2/3)
OpenStudy (anonymous):
Thanks
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hartnn (hartnn):
welcome again :)