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**Ai Ekio** My understanding was that the restriction for the first problem is anything that results in a negative root,because a negative root isn't possible (without getting into imaginary numbers).And for the second,my reasoning was that when -2 is plugged into the denominator you get 4+2-6,which would be zero and when you plug in 3 you get 9-3-6,which again is a zero;while anything below -2,above 3,and inbetween excluding those numbers would result in either a negative denominator or a positive one,hence my interval notation. I believe your last explanation does help me understand better (especially where the closed/open circles are concerned) and I'm trying very hard to understand,so thank you for replying back!