Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Practice and Problem-Solving Exercises - Page 399: 25

$y\geq2$ $y>x+1$

The blue line is a horizontal line at $y=2$, and the area above the line is shaded. Thus, that line is actually $y\geq2$ (0,1) and (1,2) $m= (1-0)/(2-1) = 1/1 = 1$ $y=mx+b$ $2 = 1*1 +b$ $2 = 1 + b$ $2-1 = 1+b-1$ $1 = b$ $y=x+1$ (0,0) is not part of the solution set $0= 0+1$ $0>1$