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Joined: 04 May 2020
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Location: India
GMAT 1: 610 Q47 V27 
WE:Programming (Computer Software)
Re: Is (7 + x)/(8 + x) ≥ 7/8? (1) x <= 0 (2) x >= 0
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15 Apr 2021, 22:13
Given , 7 + x / 8 + x = > 7 /8 ?
At first we need to completely simplify the above equation by bringign the entire equation to one side.
Fianlly we get the equation as x / 8 x + 64 => 0 ?
Statement 1: x <= 0
Putting x as 0 we can get 0 /64 = 0
now putting x as -1 we get (-1/ 56) which is less than 0
Hence the statement has two contrasting values.
Not sufficient.
Statement 2 : x => 0
putting x = 0
we are getting 0/ 64 = 0
putting x as 1, we are still getting a positive number which is greater than 0
Hence sufficient
IMO B