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anonymous

  • 4 years ago

Choose the missing step in the given solution to the inequality 2x - 14 > -4 - 3x. 2x - 14 > -4 - 3x -10 > -5x 2 < x Answer x - 14 > -4 -14 < -4 - 5x x - 14 < -4 -14 > -4 - 5x

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  1. Hero
    • 4 years ago
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    I don't know who would actually solve it in a way that would intentionally make negative numbers.

  2. anonymous
    • 4 years ago
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    Well to solve any equation you would first add or subtract the solitary number that's on the same side as the variable (x in this case) to get x on it's own. Then divide or multiply both sides by the number attached to the variable.

  3. anonymous
    • 4 years ago
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    Oh, I skipped a part I just realized. You would first need to get all your vairables together on one side of the equation.

  4. Hero
    • 4 years ago
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    If it were up to me, I would add 3x to both sides and add 14 to both sides to get 5x > 10 x > 2 but even if it were -1o > -5x I would still add 5x and add 10 to both sides to get 5x > 10 The point is, you don't have to end up dividing by a negative number to get the solution.

  5. anonymous
    • 4 years ago
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    Also note: When you divide or multiply both sides of an inequality by a negative, your inequality flips. So < becomes > and > becomes <

  6. Hero
    • 4 years ago
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    PsychoTink, that's the exact point I was trying to discourage people from doing because it leads to confusion.

  7. Hero
    • 4 years ago
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    just swap the sides of the -5x and -10 to make them both positive without having to divide by negative numbers

  8. anonymous
    • 4 years ago
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    I would have also Hero, I would have kept things positive, but this one we'd have to blame on whomever wrote the book or problem the person is asking about. It looks like a multiple choice question to find the missing bit, and the book decided to be weird and make it really difficult.

  9. Hero
    • 4 years ago
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    No, what I'm saying is, even if you get to -1o > -5x The next step is to add 5x to both sides, then add 10 to both sides all in one step to get 5x > 10

  10. Hero
    • 4 years ago
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    You can actually just swap the sides immediately when you see a negative on the variable.

  11. Hero
    • 4 years ago
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    For example if -2x > 4, immediately swap sides to get -4 > 2x

  12. Hero
    • 4 years ago
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    If you do it that way, you'll never have to worry about dividing inequalities by negative numbers.

  13. anonymous
    • 4 years ago
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    You could, but that's the really hard way to do it. Why would you have even put the x on that side. You can see that it starts negative, and you're only going to make it more negative by subtracting the 2, instead you could add the 3 right off the top and never have a negative situation

  14. Hero
    • 4 years ago
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    It's not the hard way if you think about it. I did it in one single step. You just swap the sides -2x > 4 -4 >2x -2 > x How is that the hard way?

  15. anonymous
    • 4 years ago
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    Well, if you have to show all your work it would be the hard way when you could have avoided it from every happening.

  16. Hero
    • 4 years ago
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    |dw:1327690510831:dw| Dividing by negatives then remembering to switch the signs is the reason why students get things wrong. The point is to get the answer correct.

  17. Hero
    • 4 years ago
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    Who cares if you have to show all your work. If you do it that way, you'd never have to worry about getting it wrong because you "forgot to switch a sign after dividing by a negative".

  18. Hero
    • 4 years ago
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    By the way, the answer to the original question is -14 > -4 - 5x

  19. anonymous
    • 4 years ago
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    I completely agree with you Hero, that's why I was saying to take notice of what it's going to do in the start when you first have to combine your x. Right there you can see if you'll have a negative x or not and can start the problem accordingly. Rather than having to put yourself in that situation later.

  20. Hero
    • 4 years ago
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    Sometimes though, you can't avoid getting negatives. In that case, you can use my method.

  21. anonymous
    • 4 years ago
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    I guess that's true.

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