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04 Aug 2008, 14:32
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I'm very much lost when it comes to solving an inequality problem. Please help!
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04 Aug 2008, 14:47
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Answer has to be D.
Just look at the stem for a second.
\(sqrt((X-5)^2) = |X-5|\)
So, |X-5|=5-X when X < 5 or X = 5.
|X-5|!=5-X when X > 5
Now look at the choices:
a) -X|X|>0
Since |X| has to be positive, X has to be negative for -X to be greater than 0
A negative number is less than 5, so A is suff.
b)5-X>0
so, 5>X, good enough for the two side of the stem to be equal.
B also suff.
Hence answer = D
Just look at the stem for a second.
\(sqrt((X-5)^2) = |X-5|\)
So, |X-5|=5-X when X < 5 or X = 5.
|X-5|!=5-X when X > 5
Now look at the choices:
a) -X|X|>0
Since |X| has to be positive, X has to be negative for -X to be greater than 0
A negative number is less than 5, so A is suff.
b)5-X>0
so, 5>X, good enough for the two side of the stem to be equal.
B also suff.
Hence answer = D
05 Aug 2008, 09:02
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lets simplify the question stem
Is \(sqrt((x-5)^2) = 5-x\)
Is x-5 = 5-x
Is 2x = 10
Is x = 5 ?
its a YES or NO question
statement 1 : -x * |x| > 0
multiplication of two number is positive and one of them |x| is positive so -x has to Positive --> x is negative
answer to our question -- NO
statement 2 : 5-x > 0
x < 5 ... if x is less than 5 then it cant be equal to 5
answer to our question --- NO
Option D
Is \(sqrt((x-5)^2) = 5-x\)
Is x-5 = 5-x
Is 2x = 10
Is x = 5 ?
its a YES or NO question
statement 1 : -x * |x| > 0
multiplication of two number is positive and one of them |x| is positive so -x has to Positive --> x is negative
answer to our question -- NO
statement 2 : 5-x > 0
x < 5 ... if x is less than 5 then it cant be equal to 5
answer to our question --- NO
Option D
