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OpenStudy (anonymous):

How do you solve this problem for X: -3(x+1)-x/2+3/2<0

OpenStudy (anonymous):

you distribute the -3, and add like terms...you solve it like you would if the less than sign is an equal sign

OpenStudy (anonymous):

only difference is if you divide or multiply by a negative you change the sign...so in this case you would change it to a greater than sign if you divide or multiply by a negative

OpenStudy (anonymous):

ok what terms do you distribute the -3 to?

OpenStudy (anonymous):

just -3(x+1) since the -3 is in front of that parenthesis

OpenStudy (anonymous):

ok so it would be 3x+3?

OpenStudy (anonymous):

but there is a negative...so u distribute the - as well, -3x-3

OpenStudy (anonymous):

so then it would look like this them -3x-3-x/2+3/2<0 ?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

add like terms...keep all the x's on one side of the inequality and everything else on the other

OpenStudy (anonymous):

ok so like this -3x+x/2<0-3+3/2?

OpenStudy (anonymous):

you should be adding 3 to both sides , not subtracting

OpenStudy (anonymous):

so it should be -3x-x/2<3-3/2

OpenStudy (anonymous):

so it would look like this -3/2x<1.5?

OpenStudy (anonymous):

how would you evaluate -3-1/2? having the x is the same thing. if it would be easier for you to get rid of the fraction, you could multiple the whole inequality by 2 to get rid of the fractions

OpenStudy (anonymous):

ok i just get how to even do these and you are making me even moe confused.

OpenStudy (anonymous):

oh sorry...i'm trying to explain it to you instead of just giving you the answers

OpenStudy (anonymous):

on the left side of the inequality we have -3x-x/2, right?

OpenStudy (anonymous):

the x in x/2 can also be written as (1/2)x. let's change that to a decimal so it's easier to work with...(1/2)x is also 0.5x. So we have -3x-0.5x which equals -3.5x.

OpenStudy (anonymous):

so now you should have -3.5x<1.5

OpenStudy (anonymous):

now to solve for x, you would just divide both sides by -3.5, which will change the inequality sign to >

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