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Inequalities 2

This topic has 1 expert reply and 3 member replies
theachiever Master | Next Rank: 500 Posts Default Avatar
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Inequalities 2

Post Mon Dec 10, 2012 12:46 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Is X<Y?

    1.1/x<1/y
    2.x/<0

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    Post Mon Dec 10, 2012 7:05 am
    theachiever wrote:
    Is X<Y?

    1.1/x<1/y
    2.x/<0
    I think you're missing part of the question here.

    Cheers,
    Brent

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    Post Tue Dec 11, 2012 7:55 am
    Brent is right; part of the question must be missing.

    In the meantime, though, we can analyze whether statement (1) is sufficient. The question is asking whether x is less than y.

    (1) 1/x < 1/y (just a note - using parentheses around the statement number helps to show that it's separate from the equation. As you wrote it, it looks a bit like 1.1)

    Can we cross-multiply, and say that y < x ? No, not without knowing whether x and y are positive or negative. Keep it as-is. The reciprocal of x is less than the reciprocal of y. Let's think about various possibilities for x and y, to see what this tells us about our question. If x and y are both positive integers (e.g. 3 and 2), then if 1/x < 1/y, x will be greater than y (3 > 2), so we get a "no" answer to the question. If x is negative and y is positive, though, then the statement will be true (1/neg < 1/pos), and x will always be less than y, so we get a "yes" answer to the question.

    We need more information about whether x and y are positive or negative, and whether they're integers or fractions. INSUFFICIENT

    Now we just need to see statement 2 to answer the question...

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    Post Tue Dec 11, 2012 7:58 am
    Also, theachiever, a grammar note for you: In your signature you write
    Quote:
    Resilience is a trait that manifests in an individual when he/she faces consistent failures motivating them to succeed in the end.
    You correctly use the singular pronoun "he/she" for individual, but then switch to the incorrect plural "them." Pronouns have to stay consistent!

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    theachiever Master | Next Rank: 500 Posts Default Avatar
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    Post Tue Dec 11, 2012 8:43 am
    ceilidh.erickson wrote:
    Also, theachiever, a grammar note for you: In your signature you write
    Quote:
    Resilience is a trait that manifests in an individual when he/she faces consistent failures motivating them to succeed in the end.
    You correctly use the singular pronoun "he/she" for individual, but then switch to the incorrect plural "them." Pronouns have to stay consistent!
    Thanks for the correction eric...... Smile really very nice of you........ no wonder you got a 760... Smile

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