Question

What is the solution to {y>2x+5 (over) y<-3x+5

Answer 1

Look at the picture.

$\left\{\begin{array}{ccc}y > 2x+5\\y < -3x+5\end{array}\right\\\\y=2x+5\\for\ x=-2\to y=(2)(-2)+5=-4+5=1\to(-2;\ 1)\\for\ x=0\to y=(2)(0)+5=0+5=5\to(0;\ 5)\\\\y=-3x+5\\for\ x=0\to y=(-3)(0)+5=0+5=5\to(0;\ 5)\\for\ x=2\to y=(-3)(2)+5=-6+5=-1\to(2;\ -1)$