Question

Write the inequality for the following graph

Answer 1

`y<-3x+3`

Explanation:

we know that

The solution for the inequality is the shaded area below the dashed line

The slope of the dashed line is negative

The x-intercept of the dashed line is the point (1,0)

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

step 1

Find the slope of the dashed line

with the points (1,0) and (0,3) determine the slope

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

The equation of the dashed line in slope intercept form is equal to

`y=mx+b`

we have

`m=-3`

`b=3` ----> the y-intercept is given

substitute

`y=-3x+3`

Remember that

The solution is the shaded area below the dashed line

therefore

The equation of the inequality is

`y<-3x+3`