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Thread: INEQUATIONS

  1. #1
    Trying to make mom and pop proud
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    INEQUATIONS

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    (1) if r>t , r<1 and rt=1 then which of the following must be true?

    (a) r>0 and t<-1
    (b) r>-1 and t<-1
    (c) r<-1 and t<-1
    (d) r<1 and t>1
    (e) r>1 and t<0

    (2) if x and y are the integers such that 0<x+y<10 ,then which of the following must be true

    (a) xy<2
    (b) x>3
    (c) x>4
    (d) x+y=5
    (e) x-y<8

    (3) if line segment AD has midpoint M1 and the line segment M1D has midpoint M2 ,what is the value of (M1D)/(AM2).

    (a)3/5
    (b)2/3
    (c)1/3
    (d)2/5
    (e)1/2.
    Last edited by vvishal; 06-27-2015 at 01:48 PM.

  2. #2
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    Re: INEQUATIONS

    C, D, B ....please post the answers....

  3. #3
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    Re: INEQUATIONS

    For second question E can also be the answer...

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    Re: INEQUATIONS

    Sorry E cannot be the answer...

  5. #5
    An Urch Guru Pundit Swami Sage
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    Re: INEQUATIONS

    If you have the answers, that would be great.

    1. b) rt=1 =>r=1/t
    Because r=1/t and r>t, r has to fall between -1 and 0 and t is less than -1. the constraint that r<1 stops a solution like r=3, t=1/3.

    2) I don't think any of these are right. If you are restricted to positive integers, then e is correct.

    Counterexamples:
    a, b, c, and d) x=2, y=4
    e) x=12, y=-3

    3) 2/3

    Just think of it as a 4 unit line segment. A--M1-M2-D. You can see there are 2 units between M1 and D and 3 between A and M2.

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