Linear Inequalities
Section 3.9
What is a linear inequality?
A linear inequality is defined as any relationship
of the following form:
0
0
0




b...
The Theory
Start with 4<6
Do the following: New Inequality Is it True?
Add 20 to both sides
Add -10 to both sides
Multiply...
Homework Slide 2
Let’s look at:
1)
2)
3)
6352  pp
18.82.73.16  p
kk 31364 
Graphing Linear Inequalities
Group Work
AND and OR Statments
Solving Compound
Inequalities
1. Solve each inequality separately.
2. Choose OR or AND.
3. Graph both solutions on the sam...
Homework Slide 4
Let’s look at:
1) AND
2) OR
3) OR
27 x
1035 x
912 x
27 x 912 x
51x
Homework
Exercises page 287
# 18, 21-24, 38-44, 53, 54, 55, 61, 64, 65, 66
No My Math Lab for the rest of the semester!
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FRCC MAT050 Linear Inequalities (Sect 3.9)

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FRCC MAT050 Linear Inequalities (Sect 3.9)

  1. 1. Linear Inequalities Section 3.9
  2. 2. What is a linear inequality? A linear inequality is defined as any relationship of the following form: 0 0 0     bax bax bax bax Where 0a
  3. 3. The Theory Start with 4<6 Do the following: New Inequality Is it True? Add 20 to both sides Add -10 to both sides Multiply both sides by -1 Divide both sides by -2 What do you do when you multiply or divide by a negative number?
  4. 4. Homework Slide 2 Let’s look at: 1) 2) 3) 6352  pp 18.82.73.16  p kk 31364 
  5. 5. Graphing Linear Inequalities
  6. 6. Group Work AND and OR Statments
  7. 7. Solving Compound Inequalities 1. Solve each inequality separately. 2. Choose OR or AND. 3. Graph both solutions on the same number line. 4. Express final solution in interval notation or set builder notation.
  8. 8. Homework Slide 4 Let’s look at: 1) AND 2) OR 3) OR 27 x 1035 x 912 x 27 x 912 x 51x
  9. 9. Homework Exercises page 287 # 18, 21-24, 38-44, 53, 54, 55, 61, 64, 65, 66 No My Math Lab for the rest of the semester!

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