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Yes in fact i am supposed to prove the inequality for all real numbers x>=1
Hi bobbym,
No i am supposed to prove x>=1. I cannot understand how to do it.
Prove that for all real numbers x>=1,
3|x-2|/x <= 4
My attempt:
I took the |x-2| to be (x-2). I think this is where i am making a mistake, regarding the modulus sigh.
3(x-2)/x <= 4
3(x-2) <= 4x
3x - 6 <= 4x
3x - 4x - 6 <= 0
-x - 6 <= 0
x >= -6
Please help me!
Thank you.
Pages: 1