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Is a is less than b if a and b are positive?

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Is a is less than b if a and b are positive? [#permalink] New post   18 Sep 2019, 05:29
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Is a is less than b if a and b are positive?

(1) \((b-5)^2 > (a-5)^2\)

(2) \(\sqrt{b} >\sqrt{a}\)
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Re: Is a is less than b if a and b are positive? [#permalink] New post   18 Sep 2019, 18:54
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Is a is less than b if a and b are positive?

(1) \((b-5)^2 > (a-5)^2\)
Many cases possible..
a) When b = 3, and a=6......\((b-5)^2 > (a-5)^2....4>1\)..a>b
b) When b = 10, and a=6......\((b-5)^2 > (a-5)^2....25>1\)..a<b
Insuff

(2) \(\sqrt{b} >\sqrt{a}\)
Since both sides are positive, we can square the two sides..
\((\sqrt{b})^2 >(\sqrt{a})^2...b>a\)
Suff

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Re: Is a is less than b if a and b are positive? [#permalink]
18 Sep 2019, 18:54
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Bunuel
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