### Home > INT3 > Chapter 5 > Lesson 5.1.3 > Problem 5-51

5-51.

Graph the system below. Homework Help ✎

1 +

*x*–*y*≥ 3*x*– 2*y*– 4

*y*< 2*x*^{2}+ 1

Convert both inequalities into equations and simplify into graphing form.

*y* = 2*x*^{2} + 1

A parabola with vertex at (0, 1) and vertically stretched by 2.

1 + *x* − *y* = 3*x* − 2*y* − 4

*y* = 2*x* − 5

A line with slope 2 and *y*-intercept (0, −5).

Graph both equations, then test points to determine which region is the solution to the system of inequalities.