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## Homework Statement

Problem 1:

(##-x^2##-1)sin2x

__>__0 , xe[0,2[itex]\pi[/itex]]

Problem 2:

##2^{-x^2+x+2}## < 4

## Homework Equations

## The Attempt at a Solution

For the first problem:

(##-x^2##-1)sin2x

__>__0 , xe[0,2[itex]\pi[/itex]]

Since x is an element within a positive boundary, can I write the problem as:

sin(2x) ≤ 0

Why, or why not?

Other than that, I need to refresh my knowledge on solving inequalities.

Any help or input is appreciated while I attempt to gather more info.