Question

Which ordered pairs are in the solution set of the system of linear inequalities? y > -1/2x y <1/2 x + 1

Answer 1

Answer: is c on edge (5,-2) , (3,1) ,(4,2)

Answer 2

Look at the picture.

`y=-(1)/(2)x\\\\for\ x=0\to y=-(1)/(2)\cdot0=0\to(0;\ 0)\\\\for\ x=2\to y=-(1)/(2)\cdot2=-1\to(2;\ -1)\\\\\\y=(1)/(2)x+1\\\\for\ x=-2\to y=(1)/(2)\cdot(-2)+1=-1+1=0\to(-2;\ 0)\\\\for\ x=0\to y=(1)/(2)\cdot0+1=1\to(0;\ 1)`

Answer: Every points on orange area.