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If 2s > 8 and 3t < 9 [#permalink]
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25 Mar 2013, 12:13
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If 2s > 8 and 3t < 9, which of the following could be the value of st? I. 1 II. 0 III. 1 A. None B. I only C. II only D. III only E. II and III
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Last edited by tulsa on 25 Mar 2013, 13:30, edited 2 times in total.



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Re: If 2s > 8 and 3t < 9 [#permalink]
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tulsa wrote: If 2s > 8 and 3t < 9, which of the following could be the value of st?
I. 1 II. 0 III. 1
A. None B. I only C. II only D. III only E. II and III
s>4 t<3 (multiply by 1) > t>3 Add both of them Thus st >43 or st>1. As none of the options given are greater than 1, the answer is none. A.
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Re: If 2s > 8 and 3t < 9 [#permalink]
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If 2s > 8 and 3t < 9, which of the following could be the value of st? I. 1 II. 0 III. 1 A. None B. I only C. II only D. III only E. II and III Solution :  2s > 8 => s > 4 3t < 9 => t < 3 The given values can be represented on the number line as follows : t34s +ve1+ve+ So,st will be greater than 1. Correct option is A.  Press KUDOS if you like my post.
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Re: If 2s > 8 and 3t < 9 [#permalink]
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Re: If 2s > 8 and 3t < 9 [#permalink]
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04 Jul 2015, 02:00
Hi, The Problem description is not precise, could you provide clear problem solving strategy. Thanks.
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Re: If 2s > 8 and 3t < 9 [#permalink]
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04 Jul 2015, 02:46
Sapient wrote: Hi,
The Problem description is not precise, could you provide clear problem solving strategy.
Thanks. If 2s > 8 and 3t < 9, which of the following could be the value of st? I. 1 II. 0 III. 1 A. None B. I only C. II only D. III only E. II and III we have two equations.. 2s > 8 .. s>4, so' s' can be 4.1,5,5.05 etc and 3t < 9 .. t<3 so 't'can be 2.9999, 2,1 etc.. if we take the lowest possible difference between s and t, we will take lowest value of s, which is just above 4 and highest value of t, which is just lower to 3.. st >4.0000000001 2.999999999 .... so st>1therefore all values of 1,0,1 are not possible ans none A hope it helped
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Re: If 2s > 8 and 3t < 9 [#permalink]
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04 Oct 2015, 15:14
I understand how we get s>4 and t<3, but I'm having a hard time wrapping my head around why t cannot be negative. Can someone please explain?



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If 2s > 8 and 3t < 9 [#permalink]
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04 Oct 2015, 15:22
ada453 wrote: I understand how we get s>4 and t<3, but I'm having a hard time wrapping my head around why t cannot be negative. Can someone please explain? We don't need to check when t<0 but for the sake of your question, even if t <0 > t>0 and you know that s>0, giving you st > 1 for all values of s and t as s>1 Any positive quantity added to a quantity >1 will give you the sum as >1 Consider s= 7, t= 5 or 0.3 Both these cases make it st >1. Hope this helps.
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Re: If 2s > 8 and 3t < 9 [#permalink]
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05 Oct 2015, 11:50
Thank you. I neglected to utilize the fact that s must be positive when testing cases. Appreciate the help



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Re: If 2s > 8 and 3t < 9 [#permalink]
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