Question 38184
y < 1/2 x +2
x - 3y < 9
subtract x from both sides
-3y < -x + 9
multiply both sides by -1 and reverse the inequality sign
3y > x - 9
y > (1/3)x - 9
{{{ graph( 300, 300, -10, 10, -10, 10, (1/2)*x + 2) }}}
{{{ graph( 300, 300, -10, 10, -10, 4, (1/3)*x - 9) }}}
{{{ graph( 300, 300, -10, 10, -10, 10, x - 6) }}}
{{{ graph( 300, 300, -10, 10, -10, 4,  - 6) }}}
(1) y < 1/2 x +2 the solution is the area under the line
(2) y > (1/3)x - 9 the solution is the area above the line
(3)&(4) I'm not sure what you want here. I drew the lines