  PRE-ALGEBRA
ALGEBRA 1
GEOMETRY
ALGEBRA 2
TRIGONOMETRY
PRE-CALCULUS
CALCULUS    Algebra 2, 2008 PAGE: 110 SET: Exercises PROBLEM: 46
Please look in your text book for this problem Statement  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: ) (Apply Additive identity property: )

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 ) (Add 5 to each side) (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
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