Solution of an inequality : GMAT Quantitative Section
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# Solution of an inequality

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Veritas Prep GMAT Instructor
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24 Jun 2013, 20:55
Responding to a pm:

Quote:

4/k >=-2/3? the complete solution to this inequality is k>0 or k<=-6. i got only k<=-6. how k>0???

When dealing with inequalities, it matters whether the variable is positive or negative.
If variable is positive, you can cross multiply the way you usually do.
If variable is negative, you need to flip the sign when you cross multiply.

4/k >= -2/3
You will take 2 cases:

CAse 1: k > 0 (k is positive)
4/k >= -2/3
4 >= -2k/3
k >= - 6
Since k must be positive, hence this is true for all k > 0

Case 2: k < 0 (k is negative)
4/k >= -2/3
4 <= -2k/3
k <= -6

So you get two ranges k < -6 OR k > 0
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Solution of an inequality   [#permalink] 24 Jun 2013, 20:55
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