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INEQUATIONS


vvishal

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PLEASE HELP ME TO WORK OUT THESE PROBLEMS...

 

 

 

(1) if r>t , r

 

(a) r>0 and t

(b) r>-1 and t

© r

(d) r1

(e) r>1 and t

 

(2) if x and y are the integers such that 0

 

(a) xy

(b) x>3

© x>4

(d) x+y=5

(e) x-y

 

(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

©1/3

(d)2/5

(e)1/2.

Edited by vvishal
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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

 

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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