Question

Which inequality will have a solid boundary line and a shaded region above its graph?


x − y ≥ 3



2x − 3y ≤ 3



3y − x < 2



2x + y < 7

Answer 1

help??!!??!?!?!?

Answer 2

a solid line means there is an equal sign in the problem.That eliminates 2 of them right off.
shaded above the line means it is greater then or to the right of the line.

so we need to put the inequalities in y = mx + b form..
x - y >= 3
-y >= -x + 3 -- multiply by -1 to make x positive, and change the sign
y <= x - 3.....this is less then...so the shading does not appear above the line.

leaving us with :
2x - 3y <= 3
-3y <= -2x + 3 -- divide by -3 and change the sign
y >= 2/3x - 1 ....this is greater then, so shading appears above the line.....so this is your answer.