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Mathematics 26 Online
OpenStudy (anonymous):

the question says to solve the inequalities algebraically. here's the one I don't understand: I'm given the equation y=3x/x-2, and the inequality i'm given to plug into the equation is y>6 (also equal to, just can't type it on the computer) The back of the book says the answer is 2

OpenStudy (anonymous):

i get x > 4...

OpenStudy (anonymous):

3x>6x-12

OpenStudy (anonymous):

-3x>12 when you divide by a - you must inverse the inequality x<4

OpenStudy (anonymous):

yea i did it backwards...i multiplied teh (x-2) out and distributed it with the 6 to get 6x-12> 3x

OpenStudy (anonymous):

my bad

OpenStudy (anonymous):

how do you get -3x>12? I get 12<or equal to 3x.

OpenStudy (anonymous):

|dw:1314741753462:dw|

OpenStudy (anonymous):

so sloppy hahaha

OpenStudy (anonymous):

it's okay. When I distribute that, I get 3x<6x-12. then what?

OpenStudy (anonymous):

move the x's to one side

OpenStudy (anonymous):

your inequality is not right look at my picture

OpenStudy (anonymous):

so that it's one expression

OpenStudy (anonymous):

sorry. just flipped the sign.when i move the x's to one side, I get -3x>-12. I then divide by -3, which gives me x<4, right?

OpenStudy (anonymous):

The answer in the back of the book says 2<x<4

OpenStudy (anonymous):

so that's half of it....

OpenStudy (anonymous):

cant have denomenator <0 so if its x-2 then x must be >2

OpenStudy (anonymous):

OOOHHHHH. that makes sense. and sounds something like what my teacher said in class. thanks so much. : )

OpenStudy (anonymous):

well...think of it like this....u can't divide by 0...yet..wait til calculus

OpenStudy (anonymous):

what number in x-2 would = 0?

OpenStudy (anonymous):

AP calculus is next year. don't remind me.

OpenStudy (anonymous):

2 - 2 is 0.....so you can't have 2 as an answer

OpenStudy (anonymous):

calculus isn't hard...don't let ppl scare you

OpenStudy (anonymous):

yep. 2. can't be 0.

OpenStudy (anonymous):

so you have to include that in your inequality

OpenStudy (anonymous):

i did. thanks everyone for the awesome help!! i think all of you got a medal....even though i'm not really sure what it does. it just sounds good. = )

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