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Which of the following is true about 0<|x|-4x<5? A. -

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Which of the following is true about 0<|x|-4x<5? A. -

by Max@Math Revolution » Tue Apr 26, 2016 5:34 am
Which of the following is true about 0<|x|-4x<5?

A. -1<x<0
B. 0<x<1
C. 1<x<2
D. 2<x<3
E. 3<x<4

* A solution will be posted in two days.
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by chetan.sharma » Tue Apr 26, 2016 8:05 am
Max@Math Revolution wrote:Which of the following is true about 0<|x|-4x<5?

A. -1<x<0
B. 0<x<1
C. 1<x<2
D. 2<x<3
E. 3<x<4

* A solution will be posted in two days.
The choices have made the Q very simple..

when can be |x|-4x be greater than 0..
NEVER when x is positive..
ONLY A is left..

Substitution:-
you can also substitute any value within the given range to check for answer
Example - put x as -0.5 for A. -1<x<0..
so |x|-4x = |-0.5|- 4*(-0.5) = 0.5+2 = 2.5 and it satisfies 0<|x|-4x<5
A
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by Max@Math Revolution » Fri Apr 29, 2016 7:05 pm
Which of the following is true about 0<|x|-4x<5?

A. -1<x<0
B. 0<x<1
C. 1<x<2
D. 2<x<3
E. 3<x<4


==> If x>0, it's not possible in 0<x-4x<5.
If x=o, it's not possible in 0<0<5 either.
If x<0, 0<-x-4x<5, 0<-5x<5, 0>x>-1 is derived.
Hence, the answer is A.
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