Write the inequality for the following graph

Step-by-step 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

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

we have

----> the y-intercept is given

substitute

Remember that

The solution is the shaded area below the dashed line

therefore

The equation of the inequality is

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value