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If k is not equal to 0, 1 or -1 is 1/k>0 1) 1/k-1>0 2)

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If k is not equal to 0, 1 or -1 is 1/k>0 1) 1/k-1>0 2) [#permalink] New post 23 Feb 2006, 15:06
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If k is not equal to 0, 1 or -1 is 1/k>0

1) 1/k-1>0
2) 1/k+1>0

2.If and b are non zero numbers on the number line, is 0 between a and b

1) The distance between 1 and a is greater than the distance between 0 and b
2) The sum of the distance between 0 and a and between 0 and b is greater than the distance between 0 and sum a+b

3.In the XY plane at what two points does the graph y=(x+a) (x+b) intersect the x axis?
1) a+b=1
2) the graph intersects the y axis at (0,-6)

Please help...
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 [#permalink] New post 23 Feb 2006, 19:30
Question 1
1. 1/k-1 > 0
We know k has to be greater than 1 for this to happen. Sufficient.

2. 1/k+1 > 0
Since k cannot be 0 or 1, k must be positive. Sufficient.

Ans D
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 [#permalink] New post 23 Feb 2006, 19:52
Question 1: A
statement 1 => k > 1 (sufficient)
statement 2 => k > -1 (not sufficient since if k = -0.5, 1/k is -ve)
Question 2: B
statement 1 => not sufficient
statement 2 => |a| + |b| > |a+b|. THis is possible only if one of the value is positive and the other is negative.
Question 3: E
statement 1 => not suff
statement 2 => not suff
1 and 2 together yield two different sets of values for a and b.
Hence, E is the answer (neither statement is sufficient)
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 [#permalink] New post 24 Feb 2006, 06:39
Thanks Chuckles

1. OA is A , but what i still dont get is how k>1 in the first statement and why doesnt the same logic hold true for statement 2 as explained by Wilfred

2.OA is B, but i did not understand why you used the absolute value sign, the number line properties are beyond me, is there any useful site where there is detailed explaination for number line concepts

3. OA is C for this question
  [#permalink] 24 Feb 2006, 06:39
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