SOLUTION: Hi, I am in Intermediate Algebra at York University and I'm having trouble with a particular question. In Conic Sections/Quadradtic Inequalities and Systems of Inequalities, the ob

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Hi, I am in Intermediate Algebra at York University and I'm having trouble with a particular question. In Conic Sections/Quadradtic Inequalities and Systems of Inequalities, the ob      Log On


   



Question 113780This question is from textbook Intermediate Algebra: An Applied Approach
: Hi, I am in Intermediate Algebra at York University and I'm having trouble with a particular question. In Conic Sections/Quadradtic Inequalities and Systems of Inequalities, the objective is to graph the solution set of a onlinear system of Inequalties. The question is:
1)
y > x^2 - 3
y < x + 3
x <= 0
Thank you for your future help
This question is from textbook Intermediate Algebra: An Applied Approach

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
graph the solution set of a onlinear system of Inequalties. The question is:
1)
y > x^2 - 3
y < x + 3
x <= 0
----------------
Graph the boundary lines:
x=0 is the y-axis
y=x+3
y=x^2-3
---------------
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%2B3%2Cx%5E2-3%29
-------------
Shade the half-plane to the left of x=0
Shade the half-pane below y=x+3
Shade the area within y = x^2-3
-----------------------
The intersection of all these shaded areas is the solution set.
============================
Cheers,
Stan H.