Answer:
Option C.) B
Step-by-step explanation:
we have
y > -2x+10 -----> inequality A
The solution of the inequality A is the shaded area above the dashed line y=-2x+10
The slope of the dashed line is negative m=-2
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
y > (1/2)x-2 -----> inequality B
The solution of the inequality B is the shaded area above the dashed line
y= (1/2)x-2
The slope of the dashed line is positive m=1/2
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
Points B and I are solution to the system of inequalities
