HELP, PLEASE.
3(x-2)≤1/3 solve inequality

- anonymous

HELP, PLEASE.
3(x-2)≤1/3 solve inequality

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- anonymous

this is an "and" case
we can set up a 3 part inequality

- anonymous

I am confused what you did there. Did you divide 1/3 to both sides?

- anonymous

correct divide 3 by both sides

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## More answers

- anonymous

what did you get

- anonymous

3(x-2)/3 <=1/3 /3
Would I distribute first and then divide or just divide the whole thing?

- anonymous

You distribute first

- anonymous

I was thinkingg about absolute value sorry

- anonymous

3x-6<=1/3

- anonymous

add 6

- anonymous

To both sides?

- anonymous

or divide by 3

- anonymous

3x<= 6 1/3

- anonymous

yes what you do to one side you do to the other

- anonymous

Then I would divide by three?

- anonymous

6+1/3
18/3 +1/3
19/3

- anonymous

3x<== 19/3
x<== 19/9

- anonymous

i got x 19/9

- anonymous

Did you turn it into an improper fraction? I am unsure how you got 18/3 + 1/3

- anonymous

* x==>19/9

- anonymous

yes i turned 6 into an improper fraction

- anonymous

6= 18/3

- anonymous

Okay so 19/3 <= X?

- anonymous

Yes

- anonymous

x has to bes less than or equal to 19/9

- anonymous

you forgot to divide it by 3

- anonymous

Right, I was about to mention.

- anonymous

So we have 3x => 6 1/3 divided by 3?

- anonymous

so we get
x==> 2 1/9

- anonymous

2 1/9 = 19/9

- anonymous

Right, so X<= 19/9 or 2 1/9

- anonymous

no x==> 19/9
we did not divide by a negative to change the sign

- anonymous

So X is greater than or equal to 19/9?

- anonymous

\[x \le 19/9\]

- anonymous

less than

- anonymous

or equal to

- anonymous

Okay, thanks a lot for walking me through it.

- anonymous

no worries

- anonymous

Could you help me verify my solution to using some of the numbers from the solution set?

- anonymous

so it has to be less than 2 1/9 lets try 0 since its the easiest

- anonymous

f(0) = 3(0-2)≤1/3
3(-2) ≤1/3
-6≤1/3
its checks out

- anonymous

Awesome, thanks!

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