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Example 7-1a ,[object Object],[object Object],≥  or ≤ includes the line  SOLID LINE > or < does not include the line  BROKEN LINE Graph
Example 7-1b Test  (0 ,  0) .   Shade the region that contains  (0 ,  0) .   3) Pick a test point to find the side of the line that contains points which make the inequality true. x Graph true
Example 7-1c 2x + 5y = 10 x-intercept: 2x + 5(0) = 10 2x = 10 x = 5 (5, 0) y-intercept: 2(0) + 5y = 10 5y = 10 y = 2 (0, 2) Solid or broken line? BROKEN Graph
Example 7-1c Test any point that is not on the line Test (0, 0) 2(0) + 5(0) > 10 0 + 0 > 10 0 > 10 FALSE Shade the  true  side Graph
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. Students + chaperones ≤ 60 Answer:
Example 7-2h b. Graph the inequality. c. Can 45 students and 10 chaperones go on the trip? Answer: yes x Answer:
Example 7-3a Test  (0 ,  0) .   Shade the region that contains  (0 ,  0) . x Graph Original inequality true

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Alg2 lesson 2-7

  • 1.
  • 2. Example 7-1b Test (0 , 0) . Shade the region that contains (0 , 0) . 3) Pick a test point to find the side of the line that contains points which make the inequality true. x Graph true
  • 3. Example 7-1c 2x + 5y = 10 x-intercept: 2x + 5(0) = 10 2x = 10 x = 5 (5, 0) y-intercept: 2(0) + 5y = 10 5y = 10 y = 2 (0, 2) Solid or broken line? BROKEN Graph
  • 4. Example 7-1c Test any point that is not on the line Test (0, 0) 2(0) + 5(0) > 10 0 + 0 > 10 0 > 10 FALSE Shade the true side Graph
  • 5. 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. Students + chaperones ≤ 60 Answer:
  • 6. Example 7-2h b. Graph the inequality. c. Can 45 students and 10 chaperones go on the trip? Answer: yes x Answer:
  • 7. Example 7-3a Test (0 , 0) . Shade the region that contains (0 , 0) . x Graph Original inequality true