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If x/|x|<x which of the following must be true about x?

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Joined: 22 Mar 2019
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Re: If x/|x|<x which of the following must be true about x?  [#permalink]

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New post 29 Mar 2019, 23:32
In this x = 0 doesn't satisfy the condition. Then how is B the correct answer? Are we supposed to ignore failing values in range?
I am aware that there are values <1 that satisfy the condition, but one among them i.e., 0 fails to satisfy it, in this case are we not supposed to ignore this answer choice?
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Concentration: International Business, General Management
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Re: If x/|x|<x which of the following must be true about x?  [#permalink]

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New post 29 Mar 2019, 23:44
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Hi

yes we need to ignore 0 as correctly pointed out by you.

The main point in this question is to understand what the question is asking.
which of the following must be true about x?

It means the question is asking about a Set of Values, which contains all the value of x which satisfy the given inequality.
But the Big Idea is that the set may contain other values also which does not satisfy the inequality.

It simply means the set must contains all the value of x satisfying the inequality but vice versa is not required.

only after solving the inequality as explained above,
-1<x<0 , when x is negative , or
x>1 when x is positive.

So option B x>-1 is the only the set of values which contains all the above required values of x.

Another way to understand the logic behind the question.
Which of the following must be true for multiple of 4?
a) it is an even no

yes it is right as all multiple of 4 must be even number.
But we do have many even numbers such as 6, 10 etc which are not multiple of 4.

There is a difference between
1)" which of the following must be true about x"- it contains extra non solution points also , and
2) "which is the solution set of x" - it contains only the solution set points



ajmekal wrote:
In this x = 0 doesn't satisfy the condition. Then how is B the correct answer? Are we supposed to ignore failing values in range?
I am aware that there are values <1 that satisfy the condition, but one among them i.e., 0 fails to satisfy it, in this case are we not supposed to ignore this answer choice?

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Re: If x/|x|<x which of the following must be true about x?   [#permalink] 29 Mar 2019, 23:44

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