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1/x > 1/x^2 ; x is not equal to zero
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Updated on: 23 Jan 2019, 22:58
Updated on: 23 Jan 2019, 22:58
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73% (01:10) correct
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\(\frac{1}{x} > \frac{1}{x^2}\); x is not equal to zero
Quantity A |
Quantity B |
x |
\(\frac{1}{4}\) |
Originally posted by CAMANISHPARMAR on 23 Jan 2019, 22:22.
Last edited by chetan2u on 23 Jan 2019, 22:58, edited 1 time in total.
Last edited by chetan2u on 23 Jan 2019, 22:58, edited 1 time in total.
Formatted the question
Re: 1/x > 1/x^2 ; x is not equal to zero
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23 Jan 2019, 23:02
23 Jan 2019, 23:02
Expert Reply
CAMANISHPARMAR wrote:
\(\frac{1}{x} > \frac{1}{x^2}\); x is not equal to zero
Quantity A |
Quantity B |
x |
\(\frac{1}{4}\) |
please post question in proper format..
Now \(\frac{1}{x} > \frac{1}{x^2}\) = \(\frac{x^2}{x} > 1\), since \(x^2/geq{0}\)
Now \(\frac{x^2}{x} > 1\) means both x^2 and x have SAME sign, so we can write it as \(x^2>x......x^2-x>0.....x(x-1)>0\)
since x is positive, x>1
A>B
A
Re: 1/x > 1/x^2 ; x is not equal to zero
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28 Jan 2026, 20:45
28 Jan 2026, 20:45
1
we can simply multiply both sides with x^2 because it will always be positive and not affect the inequality
We get x>1
We get x>1
