Okay, in the first one...it says solve for (x^2+2x) / (x^2-8)<0

So I did everything and solves for it, but then I had to write in which intervals the solutions were...so I PUT [-3, -2] U [0,3) but for some reason the correct answer says that it's (-3,-2) with parentheses before the 3 instead of brackets...and I have NO idea why...

The same question for

square root( x / x^2-2x-35)>0..I solved, and found the intervals to be [-5,0)U[7, infinity) but the correct answer is (-5, 0] with parentheses instead of brackets before the 5, and brackets instead of parentheses after the o, and U(7, infinity), with parentheses before the 7 instead of brackets...

I don't get when it's parentheses or brackets

Finally,

a word problem...

A projectile is fired straight upward from ground level with an initial velocity of 160 feet per second.

a. At what instant will it be back at ground level?

b. When will the height exceed 384 feet?

I know I can find b if I first write an inequality for what happened, but..I have no idea how...and the book says the equation should be:

-16t^2 + 160t = 0...where in the world did that -16t^2 come from???

Appreciate any help, thank you!