Answer:
The system of linear inequalities to represent the graph is:
(1) y<=6 and
(2) y>=x
Step-by-step explanation:
The graph is:
1) The region below the horizontal line y=6: y<=6
2) The region above the oblique line that passes through the points:
Origin: O=(0,0)→P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(5,5)=(x2,y2)→x2=5, y2=5
Slope: m=(y2-y1)/(x2-x1)
m=(5-0)/(5-0)
m=(5)/(5)
m=1
Equation Point-slope:
y-y1=m(x-x1)
y-0=1(x-0)
y=1(x)
y=x
Above the line y=x: y>=x
Then the system of linear inequalities to represent the graph is:
(1) y<=6 and
(2) y>=x
