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Re: If xy < 3, is x < 3 ? [#permalink]
18 Jun 2012, 01:33

3

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Expert's post

If xy < 3, is x < 3 ?

(1) |y|> 1. Probably the easiest way to deal with this statement would be to plug some numbers. Notice that |y|> 1 means that y<-1 or y>1. Now, if y=2 and x=-4 then the answer is YES but if y=-2 and x=4 then the answer is NO. Not sufficient.

(2) |x| < 3 --> -3<x<3: directly gives an YES answer to the question. Sufficient.

Re: Is xy < 3, is x < 3 ? [#permalink]
18 Jun 2012, 01:35

Answer B.

From the question: xy<3 => x,y can be both positive and negative or, opposite signs. x(-2)y(3)<3 1. |y| > 1 => y>1 y<-1 => y can take 2, 3, 4, 5 or -2, -3, -4, -5.. if y=-6 and x=6 xy is -36 <3. If y=-1, x=-2 xy<3. here x = 6 in one case and -2 in another case. Hence Insufficient. 2. |x|<3 => -3<x<3 . No matter what the values of x are, it will be <3. Sufficient. _________________