1. Use a counter example to disprove this statement X < 3 implies x^2 < 9

well I can't answer the other two but I can answer the last one 

if two lines are not parallel they will meet at some point because a line goes at both directions at an infinite scale and sooner or later they will meet the only exception is when your dealing with a ray a line that starts at a point and goes on in one direction at an infinite scale

I hope this was helpful 

The first one is UNtrue because, what if x is less than negative three?

First one

Let x  = -4

So  (-4)^2  =  16

So....x^2 > 9

Second one

Let n = 41

So

41^2 + 41 + 41      =  41 ( 41 + 1 + 1)   =   43 *41  so...it is not prime 

Last one

In "three-space," we can have two lines that never meet but are not parallel....these are known as "skew" lines