Question

Find the inequality represented by the graph

Answer 1

`y<(1)/(4)x+3`

Explanation:

we know that

The solution of the inequality in the graph is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,3)

The dashed line pass through the points (0,3) and (4,4)

The slope of the dashed line is

`m=(4-3)/(4-0)=1/4`

The equation of the dashed line in slope intercept form is

`y=(1)/(4)x+3`

therefore

The inequality represented by the graph is

`y<(1)/(4)x+3`