SOLUTION: Indicate the solution set for the system of linear inequalities by shading the appropriate region. (Objective 2) y ≤ −x y > −3x

Algebra ->  Graphs -> SOLUTION: Indicate the solution set for the system of linear inequalities by shading the appropriate region. (Objective 2) y ≤ −x y > −3x       Log On


   



Question 919640: Indicate the solution set for the system of linear inequalities by shading the appropriate region. (Objective 2)
y ≤ −x
y > −3x

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+%3C=-x
y+%3E+=-3x


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2C++-3x%29+

if y+%3C=-x, shade
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Cy+%3C=+-x%2C++-3x%29+
if y+%3E+=-3x, shade
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2C+y+%3E+=+-3x%29+

solution:
{ x%3E0, -3x%3Cy%3C=-x }
together, common area to shade is the area between lines from 0,0) up in IIth quadrant (white area on graph below)


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+y+%3C=++-x%2Cy+%3E+=-3x+%29+