1. The problem statement, all variables and given/known data I am trying to solve the simultaneous inequalities (1) and (2) shown in the following image. The solution is provided, but I'm not sure how they solved for it. http://[ATTACH=full]199971[/ATTACH] [B]2. Relevant equations[/B] N/A [B]3. The attempt at a solution [/B] I tried to solve this set of simultaneous inequalities by multiplying (1) by 4, multiplying (2) by -5, and adding them together. My thought was that this would cancel the sin(θ) component and allow me to solve for the range of allowable angles. It did not seem to work. How does one go about solving simultaneous inequalities?