SOLUTION: Please solve the following question: 1/X<= x^2-1 Thank you

Question 202342This question is from textbook Algebra 2
: Please solve the following question:
1/X<= x^2-1
Thank you This question is from textbook Algebra 2

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
we presume the problem is ,,,1/x<=x^2-1
.
by inspection ,,,,
.
if x=0,,,1/x is undefined
.
if x=1,,,,,1<=1-1,,,1<=0,,,not true
.
if x=2,,,,1/2<=2^2-1,,,,,1/2<=3,,,ok
.
appears to be x>1
.
to math calc
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1/x <=(x^2-1)
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mult by x
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1<=x^3 -x
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take log's
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log1<=logx^3-logx
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0<=3logx-1logx
.
0<=2logx
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0<=logx
.
x>=1,,,,,checking x=1,,not true ,,,therefore x>1
.
.
.

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