Question

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Answer 1

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