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Is xy 0? (1) y = x + 1 (2) x is an odd number

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Bunuel
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Is xy 0? (1) y = x + 1 (2) x is an odd number [#permalink] New post   09 Mar 2022, 03:00
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Is xy ≥ 0?

(1) y = x + 1

(2) x is an odd number


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chetan2u
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Is xy 0? (1) y = x + 1 (2) x is an odd number [#permalink] New post   09 Mar 2022, 23:41
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Bunuel wrote:
Is xy ≥ 0?

(1) y = x + 1

(2) x is an odd number



Is xy ≥ 0?
Answer will be NO, when x and y have opposite signs. Otherwise, it is YES.

(1) y = x + 1
If x is between 0 and -1, answer is NO. ==> \(\frac{1}{2}*-(\frac{1}{2})=\frac{-1}{4}\)
If x is integer, answer is YES.

(2) x is an odd number
y could be anything


Combined
x is integer, so x and y are consecutive integers as y=x+1.
Consecutive integers can never have opposite sign of - and +.
It will be -*- or -*0 or 0*+ or +*+. In each case, answer is YES.

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Re: Is xy 0? (1) y = x + 1 (2) x is an odd number [#permalink] New post   10 Mar 2022, 00:22
chetan2u wrote:
Bunuel wrote:
Is xy ≥ 0?

(1) y = x + 1

(2) x is an odd number



Is xy ≥ 0?
Answer will be NO, when x and y have opposite signs. Otherwise, it is YES.

(1) y = x + 1
If x is between 0 and 1, answer is NO. ==> \(\frac{1}{2}*-(\frac{1}{2})=\frac{-1}{4}\)
If x is integer, answer is YES.

(2) x is an odd number
y could be anything


Combined
x is integer, so x and y are consecutive integers as y=x+1.
Consecutive integers can never have opposite sign of - and +.
It will be -*- or -*0 or 0*+ or +*+. In each case, answer is YES.

C
I think in statement 1 you meant x is between 0 and -1. If x is between 0 and 1, then for x=\(\frac{1}{2}\), y will be \(\frac{3}{2}\).
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Re: Is xy 0? (1) y = x + 1 (2) x is an odd number [#permalink] New post   10 Mar 2022, 01:03
Expert Reply
PyjamaScientist wrote:
chetan2u wrote:
Bunuel wrote:
Is xy ≥ 0?

(1) y = x + 1

(2) x is an odd number



Is xy ≥ 0?
Answer will be NO, when x and y have opposite signs. Otherwise, it is YES.

(1) y = x + 1
If x is between 0 and 1, answer is NO. ==> \(\frac{1}{2}*-(\frac{1}{2})=\frac{-1}{4}\)
If x is integer, answer is YES.

(2) x is an odd number
y could be anything


Combined
x is integer, so x and y are consecutive integers as y=x+1.
Consecutive integers can never have opposite sign of - and +.
It will be -*- or -*0 or 0*+ or +*+. In each case, answer is YES.

C
I think in statement 1 you meant x is between 0 and -1. If x is between 0 and 1, then for x=\(\frac{1}{2}\), y will be \(\frac{3}{2}\).


Thanks. :please: :)
corrected the typo.
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Re: Is xy 0? (1) y = x + 1 (2) x is an odd number [#permalink] New post   25 Jul 2023, 23:59
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Re: Is xy 0? (1) y = x + 1 (2) x is an odd number [#permalink]
25 Jul 2023, 23:59
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