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OpenStudy (dangerousjesse):
Substitute :3 Do you know how to do that?
OpenStudy (anonymous):
All i could do was this 3x - 5 x 10
+5 +5
OpenStudy (anonymous):
Not really ;/
OpenStudy (f_jayyy):
switch 5 to the to the other side and make it a positive
OpenStudy (anonymous):
so 3x +5 <10?
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OpenStudy (f_jayyy):
no 3x < 10 + 5
then 3x < 15
then divide both sides by three and you get x < 5
OpenStudy (kendricklamar2014):
You need to add 5 to both sides: \[3x−5+5<10+5\]
@AnimeWover What is 10 + 5?
OpenStudy (anonymous):
10+ 5 = 15
OpenStudy (kendricklamar2014):
Good
OpenStudy (f_jayyy):
then divide both sides by three
and you get ???? x < 5
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OpenStudy (anonymous):
What does the X mean? Why is it there though?
OpenStudy (dangerousjesse):
Okay, that's fine :) \[\large3x-5<10\]\[\large-5+5=0\]\[\large10+5=15\]\[\large3x<15\]
As 3x is less than fifteen, not equal to, \[\large x\neq5\]
OpenStudy (constanceleak):
you are trying to find the unknown number
OpenStudy (constanceleak):
x represents the unknown number
OpenStudy (f_jayyy):
x is the variable all it is the num
ber you are trying to find
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OpenStudy (kendricklamar2014):
Now, we divide both sides by 3: \[\frac{ 3x }{ 3 } < \frac{ 15 }{ 3 }\]
\[\frac{ 3x }{ 3 } = x\]
WHat is 15/3 @AnimeWover
OpenStudy (anonymous):
15 / 3 = 5
OpenStudy (f_jayyy):
soooo x is 5
OpenStudy (dangerousjesse):
X cannot equal 5.
OpenStudy (dangerousjesse):
3x is less than 15, not 15
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OpenStudy (constanceleak):
x<5 right?
OpenStudy (dangerousjesse):
Therefore x is less than 5, not 5.
OpenStudy (f_jayyy):
ik that if u were to look at the equation i did above that what i had...
OpenStudy (kendricklamar2014):
x < 5 is the answer
OpenStudy (f_jayyy):
i had that all the way on the top lol
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OpenStudy (kendricklamar2014):
Do you understand? @AnimeWover
OpenStudy (f_jayyy):
just one rule to remember when you switch a number to either side of the equal sign ALWAYS change the sign..if its positive make it a negative and if its a negative make it a positive
OpenStudy (kendricklamar2014):
Yes ^
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
so 3x + 5 < 10
5+5
10+5
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OpenStudy (dangerousjesse):
Huh? I thought you made it zero and added/subtracted it from the sum/product/etc.
OpenStudy (anonymous):
3 / 15 = 5
x < 5
OpenStudy (anonymous):
I think i'm skipping steps. Sorry
OpenStudy (anonymous):
i am a lost cause with math XD
OpenStudy (kendricklamar2014):
Step 1: Add 5 to both sides.
Step 2: Divide both sides by 3
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OpenStudy (dangerousjesse):
Yes, that makes more sense^
OpenStudy (f_jayyy):
so it ends up being
3x - 5 = 10
3x = 10 + 5
3x = 15
3/3 x = 15/3
x = 5
OpenStudy (dangerousjesse):
F_Jay, we do not know what x is equal to. We only know it is less than 5.
OpenStudy (f_jayyy):
lol sorry i keep forgtrtting im so used to the = sign
OpenStudy (anonymous):
Wait hoiw are we diving BOTH sides?
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OpenStudy (f_jayyy):
to get x by itself
OpenStudy (anonymous):
oh
OpenStudy (dangerousjesse):
No problem :)
We are dividing both sides by 3 because x is being multiplied, and the end result is the product of x.
OpenStudy (kendricklamar2014):
I'll put it more in detail:
Step 1: Add 5 to both sides: \[3x−5+5<10+5\]
The 5's the the left side cancel out since: -5 + 5 = 0. On the right side, 10 + 5 = 15.
\[3x<15\]
Step 2: Divide both sides by 3: \[\frac{ 3x }{ 3 } < \frac{ 15 }{ 3 }\]
On the left side, 3 divided by 3 = 1x, 1x is the same as x. On the right side, 15 divided by 3 = 5.
\[Answer: x < 5\]
OpenStudy (f_jayyy):
yup :)
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OpenStudy (anonymous):
ohhh
OpenStudy (kendricklamar2014):
Yup, does that help you understand?
OpenStudy (anonymous):
how do we know X is less than 5 though?
OpenStudy (kendricklamar2014):
because:
< = Less than
> = Greater than
OpenStudy (f_jayyy):
this is how i remember those signs.... < faces the negative side ( negative=less than) and > positive=greater than) faces the positive side
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