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LilVeroDez13 Group Title

Select the counterexample that makes this conjecture false: For any real number x, x2 ≥ x.

  • one year ago
  • one year ago

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  1. LilVeroDez13 Group Title
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    x = 1/2 x = -2 x = |3| x = 0

    • one year ago
  2. xartaan Group Title
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    Try plugging in each of those into the equation. And see which one the inequality isn't true for.

    • one year ago
  3. LilVeroDez13 Group Title
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    can u help? i forget how to solve inequalitys

    • one year ago
  4. xartaan Group Title
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    Well, you don't need to do much with the inequality other than realize what it is saying which is: given any x, x^2 is always "Greater Than or Equal To" x. So, by testing each choice, i.e. squaring each one, you will find that only one of them gets smaller when squared.

    • one year ago
  5. CliffSedge Group Title
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    There is nothing to solve; it's plug-and-chug.

    • one year ago
  6. xartaan Group Title
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    The statement is basically saying, "x squared is always bigger than x." You prove this is false by finding a counterexample. In this case, a counterexample is a value for x which when squared, is smaller than just x. Just start squaring things, you'll find the answer!

    • one year ago
  7. LilVeroDez13 Group Title
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    okk

    • one year ago
  8. LilVeroDez13 Group Title
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    thanks!!

    • one year ago
  9. xartaan Group Title
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    Very welcome!

    • one year ago
  10. LilVeroDez13 Group Title
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    i get x = 1/2 :) is that right?

    • one year ago
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