|x| ≤ 1 ⇒ |x^2 − x − 2| ≤ 3|x + 1|

im guessing you factor it and cancel out the x+1 then im left with this

|x-2| ≤ 3

What do i do from there?

Printable View

- Sep 8th 2010, 04:48 PMcalculuskid1Simple proving the inequalities
|x| ≤ 1 ⇒ |x^2 − x − 2| ≤ 3|x + 1|

im guessing you factor it and cancel out the x+1 then im left with this

|x-2| ≤ 3

What do i do from there? - Sep 8th 2010, 05:29 PMProve It
.

Now

by the triangle inequality.

.

And since

that means .

Therefore

and thus

.