The math help thread

1) State one solution to the system
y< 2x-1
y> or = 10-x (greater than or equal to)

Either 1) plot the graphs to find the region which satisfies the equations or 2) re-write them like so:







So let's say that .





So let's say that

That's one example.

2) Write a system of inequalities whose solution is the set of all points in quadrant 1 not including the axes.

Well the first quadrant is the one where all points are positive or 0. Since it says DON'T include the axes, we define x and y to be positive, but more than 0:





And there's your system of inequalities.