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

Question 113782This 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)
X^2 + y^2 < 3
x > y^2 - 1
y => 0 This question is from textbook Intermediate Algebra: An Applied Approach

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
graph the solution set of a onlinear system of Inequalties. The question is:
1)
X^2 + y^2 < 3
x > y^2 - 1
y => 0
--------------
Graph the boundary for each of the inequalities:
y = 0 is the x-axis
x^2 + y^2 = 3 is a circle with center at (0,0) and radius = sqrt(3)
x = y^2-1 is a parabola opening to the right with vertex at (-1,0)
-----------------
Shade the half-plane above the x-axis
Shade the interior of the circle
Shade the interior of the parabola
-----------------------
The solution is the intersection of the shaded areas plus the line
y=0 that is inside the circle and the parabola.
=====================
Cheers,
Stan H.
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