is the following inequality always, sometimes or never true? 2(8x-4)-2x<14x+12 please answer :)
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OpenStudy (anonymous):
So we have
\[2(8x-4)-2x\lt14x+12\]
We need to isolate for x
OpenStudy (anonymous):
So you can expand it to:
\[16x-8-2x\lt14x+12\]
So now you need to group like terms. So \(x\)'s with \(x\)'s and numbers with numbers. What do you get?
OpenStudy (anonymous):
idk help
OpenStudy (anonymous):
Well it works like this:
\[14x-8\lt14x+12\]
\[14x-14x\lt12+8\]
\[0(x)\lt20\]
\[x\lt\frac{20}{0}\]
Since the only value is not valid, the inequality is false.
OpenStudy (candy13106):
hey keith
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OpenStudy (candy13106):
can u plz help me
OpenStudy (candy13106):
im kandy44 and magie22 but it got of conection so now im cany
OpenStudy (anonymous):
so never true, sometimes or always?
OpenStudy (candy13106):
true
OpenStudy (anonymous):
are u sure
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OpenStudy (candy13106):
yup dont worry
wat grade do u go to
OpenStudy (anonymous):
keith please answer me
OpenStudy (anonymous):
Yes it is true.
OpenStudy (candy13106):
hes typing
OpenStudy (candy13106):
c i told u im a straight a student so dont worry
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OpenStudy (anonymous):
always true or sometimes Keith?
OpenStudy (candy13106):
always true
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
ALWAYS True @gowingspans1234 Because you have the following inequality:
\[14x-8\lt14x+12\] And so therefore since both sides have the same slope, this is true for any x value
OpenStudy (candy13106):
yup no problem i did half c i told u
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OpenStudy (candy13106):
keith is u going to help me
OpenStudy (anonymous):
i got one more question..
OpenStudy (candy13106):
ok go ahead
OpenStudy (anonymous):
The sides of a triangle are in the ratio 3: 4: 5. What is the length of each side if the perimeter of the triangle is 90cm?
OpenStudy (candy13106):
ok i know how to do that give me a minute
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