Question

Which system of linear inequalities is represented by the graph?

Answer 1

The graph in the attached figure

Explanation:

we have

`x+5y\geq 5` ----> inequality A

The solution of the inequality A is the shaded area above the solid line
`x+5y=5`

The slope of the solid line is negative

The y-intercept of the solid line is (0,1)

The x-intercept of the solid line is (5,0)

`y\leq 2x+4` ----> inequality B

The solution of the inequality B is the shaded area below the solid line
`y= 2x+4`

The slope of the solid line is positive

The y-intercept of the solid line is (0,4)

The x-intercept of the solid line is (-2,0)

therefore

The graph in the attached figure