Lesson 7 Contents Example 1Dashed Boundary Example 2Solid Boundary Graphing Inequalities

Example 7-1a Graph The boundary is the graph ofSince the inequality symbol is <, the boundary will be dashed. Use the slope-intercept form,

Example 7-1b Graph Test (0, 0). Original inequality true Shade the region that contains (0, 0).

Example 7-1c Graph Answer:

Example 7-2a Education The SAT has two parts. One tutoring company advertises that it specializes in helping students who have a combined score on the SAT that is 900 or less. Write an inequality to describe the combined scores of students who are prospective tutoring clients. Let x be the first part of the SAT and let y be the second part. Since the scores must be 900 or less, use the  symbol.

Example 7-2b The2 nd partare less than 1 st partandtogether or equal to900. xy  900 Answer:

Example 7-2c Graph the inequality. Since the inequality symbol is , the graph of the related linear equation is solid. This is the boundary of the inequality.

Example 7-2d Graph the inequality. Test (0, 0). Original inequality true

Example 7-2e Graph the inequality. Shade the region that contains (0, 0). Since the variables cannot be negative, shade only the part in the first quadrant.

Example 7-2f Does a student with a verbal score of 480 and a math score of 410 fit the tutoring company’s guidelines? The point (480, 410) is in the shaded region, so it satisfies the inequality. Answer:Yes, this student fits the tutoring company’s guidelines.

Example 7-2g Class Trip Two social studies classes are going on a field trip. The teachers have asked for parent volunteers to also go on the trip as chaperones. However, there is only enough seating for 60 people on the bus. a.Write an inequality to describe the number of students and chaperones that can ride on the bus. Answer:

Example 7-2h b.Graph the inequality. c.Can 45 students and 10 chaperones go on the trip? Answer: Answer:yes