anonymous
  • anonymous
How do you solve this problem for X: -3(x+1)-x/2+3/2<0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
you distribute the -3, and add like terms...you solve it like you would if the less than sign is an equal sign
anonymous
  • 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
anonymous
  • anonymous
ok what terms do you distribute the -3 to?

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anonymous
  • anonymous
just -3(x+1) since the -3 is in front of that parenthesis
anonymous
  • anonymous
ok so it would be 3x+3?
anonymous
  • anonymous
but there is a negative...so u distribute the - as well, -3x-3
anonymous
  • anonymous
so then it would look like this them -3x-3-x/2+3/2<0 ?
anonymous
  • anonymous
yup
anonymous
  • anonymous
yup
anonymous
  • anonymous
add like terms...keep all the x's on one side of the inequality and everything else on the other
anonymous
  • anonymous
ok so like this -3x+x/2<0-3+3/2?
anonymous
  • anonymous
you should be adding 3 to both sides , not subtracting
anonymous
  • anonymous
so it should be -3x-x/2<3-3/2
anonymous
  • anonymous
so it would look like this -3/2x<1.5?
anonymous
  • 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
anonymous
  • anonymous
ok i just get how to even do these and you are making me even moe confused.
anonymous
  • anonymous
oh sorry...i'm trying to explain it to you instead of just giving you the answers
anonymous
  • anonymous
on the left side of the inequality we have -3x-x/2, right?
anonymous
  • 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.
anonymous
  • anonymous
so now you should have -3.5x<1.5
anonymous
  • 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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