Is 1/(5 - x) x/5? (1) x -8.

Question

Is 1/(5 - x) > x/5?

(1) x < 8.
(2) x > -8.

14101992 · Answer

To solve this question fast, we can do trial and error. If we take x=7, the given inequality doesn't hold. So, Statement 1 and 2 both are not true. If we take x=0, the given inequality holds. So, statement 1 and 2 both holds.

Hence, E will be the answer.

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winionhi · Answer

Upon solving 1/(5-X) >X/5, we get x^2 - 5x + 5 < 0 (1) Try Substituting X=7 => 49-35+5 < 0 (FALSE) X=0 => 0 - 0 +5 < 0 (FALSE) X=-8 => 64 +40 +5 < 0 (FALSE) Similarly, any negative number will only yield a positive integer. (2) Similar substitution as above will yield only Positive integers that will falsify the equation. So, the answer must be D

14101992 · Answer

winionhi

Directly insert X=0 in the inequality: 1/(5 - X) > X/5

We get, 1/(5-0)>0/5 ----> 1/5>0, which is true

Now insert X=7 in the inequality:

We get, 1/(5-7)>7/5 ----> 1/(-2) > 7/5 -----> negative > positive, which is never true.

So, we get 2 different answers for X<8 as well as X>-8.

Hence, the answer should be E.

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mehrdadtaheri92 · Answer

Answer Is Definitely is E...

After simplifying the inequality we Obtain : X^2- 5X +5 > o

So here the question becomes whether this new inequality greater than zero ?

However, if we put 2 in the place of variable X , we get negative answer and other numbers will give us positive answer. Here we see that both data 1 and 2 can not eliminate the possibility of 2
instead of variable X in the inequality , so the answer should be E

Nightfury14 · Answer

Looking at the statements (1) & (2), you may observe that if each statement fails individually then you would have to test -8 \frac{1}{(-2)} > \frac{7}{5} .. False Say X=-7 => \frac{1}{12} > \frac{-7}{5} .. True Insufficient Statement 2) Follow same assumptions as Statement 1) .. Insufficient. Statement 1) & 2) combined .. Follow same assumptions as Statement 1) .. Insufficient. Answer is Choice E) Good luck ========================================================================================= "If a street performer makes you stop walking, you owe him a buck" "If this post helps you on your GMAT journey, drop a +1 Kudo "

ashwini86 · Answer

Simplest way is substitution of variables , both fail to satisfy individually and together too

Answer E

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Is 1/(5 - x) > x/5? (1) x < 8. (2) x > -8.

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