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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    you distribute the -3, and add like terms...you solve it like you would if the less than sign is an equal sign

  2. anonymous
    • 5 years ago
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    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

  3. anonymous
    • 5 years ago
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    ok what terms do you distribute the -3 to?

  4. anonymous
    • 5 years ago
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    just -3(x+1) since the -3 is in front of that parenthesis

  5. anonymous
    • 5 years ago
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    ok so it would be 3x+3?

  6. anonymous
    • 5 years ago
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    but there is a negative...so u distribute the - as well, -3x-3

  7. anonymous
    • 5 years ago
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    so then it would look like this them -3x-3-x/2+3/2<0 ?

  8. anonymous
    • 5 years ago
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    yup

  9. anonymous
    • 5 years ago
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    yup

  10. anonymous
    • 5 years ago
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    add like terms...keep all the x's on one side of the inequality and everything else on the other

  11. anonymous
    • 5 years ago
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    ok so like this -3x+x/2<0-3+3/2?

  12. anonymous
    • 5 years ago
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    you should be adding 3 to both sides , not subtracting

  13. anonymous
    • 5 years ago
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    so it should be -3x-x/2<3-3/2

  14. anonymous
    • 5 years ago
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    so it would look like this -3/2x<1.5?

  15. anonymous
    • 5 years ago
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    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

  16. anonymous
    • 5 years ago
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    ok i just get how to even do these and you are making me even moe confused.

  17. anonymous
    • 5 years ago
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    oh sorry...i'm trying to explain it to you instead of just giving you the answers

  18. anonymous
    • 5 years ago
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    on the left side of the inequality we have -3x-x/2, right?

  19. anonymous
    • 5 years ago
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    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.

  20. anonymous
    • 5 years ago
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    so now you should have -3.5x<1.5

  21. anonymous
    • 5 years ago
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    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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