Solve the following inequalities.

1. $x^2−2x<3$ 

   Hint (a):

   Change the inequality into an equation and solve for $x$ to find the boundary points.
   Plot the boundary points on a number line. Test values of $x$ to find where the inequality is true.
   Shade the true region and describe it with one or more inequality statements.

   More Help (a):

   See problem 4-94 part (b).

2. $3x−x^2\le2$ 

   Hint (b):

   See part (a).