SOLUTION: |(x+h)^2-x^2|<3h^2, where h>0 Solve the inequality and specify the answer in interval notation in terms of h

Algebra ->  Absolute-value -> SOLUTION: |(x+h)^2-x^2|<3h^2, where h>0 Solve the inequality and specify the answer in interval notation in terms of h      Log On


   

Question 342250: |(x+h)^2-x^2|<3h^2, where h>0
Solve the inequality and
specify the answer in interval notation in terms of h
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28%28x%2Bh%29%5E2-x%5E2%29%3C3h%5E2
abs%28x%5E2%2B2xh%2Bh%5E2-x%5E2%29%3C3h%5E2
abs%282xh%2Bh%5E2%29%3C3h%5E2
2xh%2Bh%5E2%3C3h%5E2 and -%282xh%2Bh%5E2%29%3C3h%5E2
2xh%3C2h%5E2 and 2xh%2Bh%5E2%3E-3h%5E2
x%3Ch and 2xh%3E-4h%5E2
x%3Ch and x%3E-2h
-2h%3Cx%3Ch