Question

which point lies in the solution set for the following system of inequalities?
x-2y>3
x+2y<6

Answer 1

first ignore the initial inequalities, i.e: x-2y=3; x+2y=6
solve these: x=3+2y => 3+2y+2y=6 => 4y=3 => y=3/4 => x=4.5
now you have the critical points, test both inequalities to see which side of the critical point holds

Answer 2

(3,4) @epicfail

Answer 3

(3,4) is not the solution, from 1st equation: (3-2(4)) does not equal 6

Answer 4

just do the four combinations:
x>4.5, y>.75
x<4.5, y>.75
x>4.5, y<.75
x<4.5, y<.75
and the one which hold is correct

Answer 5

(4,-2)

Answer 6

@epicfail