lesson 7 contents example 1dashed boundary example 2solid boundary graphing inequalities
TRANSCRIPT
Example 1 Dashed Boundary
Example 2 Solid Boundary
Graphing Inequalities
Graph
The boundary is the graph of Since the inequality symbol is <, the boundary will be dashed. Use the slope-intercept
form,
Graph
Test (0, 0).
Original inequality
true
Shade the region that contains (0, 0).
Graph
Answer:
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.
The 2nd part are less than1st part and together or equal to 900.
x y 900
Answer:
Graph the inequality.
Since the inequalitysymbol is , the graphof the related linearequation is solid. This is the boundary of the inequality.
Graph the inequality.
Test (0, 0).
Original inequality
true
Graph the inequality.
Shade the region that contains (0, 0). Since the variables cannot be negative, shade only the part in the first quadrant.
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.
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:
b. Graph the inequality.
c. Can 45 students and 10 chaperones go on the trip?
Answer:
Answer: yes
