Question

Which inequality can be represented by the graph below ?

Answer 1

Option F.
`y\geq x+b`

Explanation:

we know that

The solution of the inequality of the graph is the shaded area above the solid line

step 1

Find the equation of the solid line

The intercepts are

The y-intercept is the point (0,b)

The x-intercept is the point (-b,0)

Find the slope

`m=(b-0)/(0+b) =1`

The equation of the solid line is

`y=x+b`

step 2

The solution of the inequality is the shaded area above the solid line

therefore

the inequality is equal to

`y\geq x+b`