Question 19288
<P><b>What is the situation when two inequalities have no solution? </B>

This simply means that the parameters marked out by the inequality cannot be satisfied.
An example of this would be:
{ x|x belongs to real numbers (R) ; x<0 }
A real number would have to be equal to or greater than zero,but this inequality requires x<0.Hence this has no solution.
<P>
<b>What are the conditions when the solution of a system of inequalities will be in the first quadrant?</b>
For a system of inequalities to lie in the first quadrant, the straight-forward condition would be:
0 < theta < 90,
where theta is an angle under consideration. This puts it in the first quadrant.
<P>
If you need any more help,or if you have any questions,do ask.
Hope this helps,
-Prabhat