Chapter 10 - Section 10.4 - Nonlinear Inequalities and Systems of Inequalities - Exercise Set - Page 628: 7

Please see the graph.

$y > (x-1)^2 -3$ Since the graph has a greater than sign, we use a dotted line for the graph. We pick a point to determine what side of the graph to shade—we pick $(2,2)$. $y > (x-1)^2 -3$ $2 > (2-1)^2 -3$ $2 > 1^2 -3 $ $2 > 1-3$ $2 > -2$ (true) We shade the side of the graph with the point.