Algebra 2, 2008
46

 PAGE: 110 SET: Exercises PROBLEM: 46

The graph of the inequality is the shaded region and boundary of the inequality is. To graph the boundary, find the x-intercept and y-intercept of the line.

First find the y-intercept.

The y-intercept is the value of y, when .

(Substitute )

(Multiply: )

The y-intercept is 5, so the graph intersects the y-axis at (0, 5).

Next find the x-intercept.

The x-intercept is the value of x, when .

(Substitute )

(Simplify)

(Divide each side by 3)

(Cancel common terms)

(Divide: )

The x-intercept is 1.66, so the graph intersects the x-axis at (1.66, 0).

To draw inequality follow the steps.

1.   Draw a coordinate plane.

2.  Plot the points.

3.  Since inequality symbol is , the boundary is included in the solution set. Graph the boundary of the inequality with a solid line.

4.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is (0, 0).

Substitute and y = 0 in original inequality .

The statement is false.

4.  Since the statement is false, shade the region that do not contains point (0, 0).

Inequality graph is

TESTIMONIALS
 "I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett "Your site is amazing! It helped me get through Algebra." Charles "My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease
 Tweets by @mathskeydotcom

QUESTIONS? LET US HELP.