I'm terrible at these...

-3 < (1/x)<1

If possible could someone show a step-by-step solution?

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- Sep 11th 2009, 05:52 PMxxlvhsolving an inequality #2
I'm terrible at these...

-3 < (1/x)__<__1

If possible could someone show a step-by-step solution? - Sep 11th 2009, 08:24 PMtutor.mathitutor
First solve

1/x ≤1=>x≥1

Then solve

1/x>-3=>x<-1/3

See the solution on the number line and you will find that there is no common solution which satisfies both the inequalities simultaneously.

So the solution is

-1/3 < x ≥ 1

That means the inequality holds good for all

x ≥ 1

And

-1/3 < x