hi guys,

how do you solve this inequality ?

|x| + |x-1| < 5

thank you

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- Nov 15th 2010, 02:48 AMWeeGInequality with absolute values
hi guys,

how do you solve this inequality ?

|x| + |x-1| < 5

thank you - Nov 15th 2010, 02:58 AMProve It
You probably need to use the Triangle Inequality.

.

So that means

.

And since that means

.

Can you go from here? - Nov 15th 2010, 03:23 AMWeeG
yeah, cheers !

- Nov 15th 2010, 07:29 AMStuck Man
I was doing a similar question. What is the solution set of mod(2x+5) <= mod(x+1) ? I think it is {x: x=-2, x=4}. The question actually asks for the interval and gives the answer [-4,-2].

- Nov 15th 2010, 09:35 AMStuck Man
The answer is correct. Both sides of the equation can be squared to find the soloution. I have done it now.