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OpenStudy (anonymous):
Welcome to OpenStudy!
When dealing with an equation between two inequalities, you have to deal with them equally.
The first step is to add +3 to each side
3+5/2 < 4x <= 3+8/3
Does that first step make sense?
OpenStudy (anonymous):
are u sure??
OpenStudy (anonymous):
I am. Do you have a question about it?
OpenStudy (anonymous):
well thanks for answering
OpenStudy (anonymous):
Oh you're not done yet. You then have to divide 4 to each side.
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OpenStudy (anonymous):
but why sould i add +3 before 5/2 and 8/3??
OpenStudy (anonymous):
It doesn't matter if it's before or after. It's all commutative from the commutative property.
OpenStudy (anonymous):
wait shouldnt i do 5/2<4x-3/2??
OpenStudy (phi):
5/2<4x-3<= 8/3
is short for two separate relations
5/2 < 4x -3
and
4x - 3 ≤ 8/3
OpenStudy (anonymous):
yes
how can u solve it??
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OpenStudy (anonymous):
how can i solve 5/2<4x-3
???
OpenStudy (phi):
for the first equation, do as Kirby was showing (though he was solving both at the same time... which you can do if you are an expert)
5/2<4x-3
the idea is to add +3 to both sides, like this:
3+ 5/2 < 4x -3 + 3
now simplify both sides
can you do that ?