In this question , we have to find the postulate that is illustrated for the real numbers
The postulate is Additive inverse postulate which states that
Where a is the real number and -a is the opposite of a. It states that , if opposite of a number is added with the number, the result is 0 .
Answer:
Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope
The equation of the solid line in slope intercept form is equal to
we have
----> the y-intercept is the point (0,3)
substitute
therefore
The inequality is
step 2
Find the equation of the dashed line
The slope is given
From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have
substitute
therefore
The inequality is
because the shaded region is below the dashed line
therefore
The system of inequalities is