Download Warm Up #10 11/2/11

Lesson #17
Warm UP
1. Which number is a solution of the inequality?
4m> 8
a. 3
b. -2
c. 2
d. ½
2. Write an inequality for the graph.
-3/4
3. Jamie can run at least 10 mph. Write and graph an
inequality to model this situation.
Algebra I
Notes #17
Title:
Compound Inequalities
Objective:
To solve and graph compound
inequalities.
Vocabulary
• Compound Inequality – two inequalities
joined with “and” or “or”
“and”
means – intersection, conjunction
“or” U means – union, disjunction
U
Example “and”
Example “or”
Example 1)
Graph and write an inequality
All real number greater than or equal to
0 and less than 4.
“and” Statement- Conjunctions
These statement must contain both solutions
x > a and x < b.
a < x < b x is between (a) and (b)
x is less than (b) and greater than (a)
a ≤ x ≤ b x is between (a) and (b) inclusive
Example 2
Goal is to get “X” by itself in the middle. Must do the
same thing to all sides
• -2 ≤ 3x – 8 ≤ 10
Example 3
• -12 < 2x -6 < 4
Example 4
Solve each side then put together
2x < 8 and 3x + 2 > -4
“or” Statement -Disjunction
An inequality that can belong to one another or
both inequalities. A union of two inequalities.
x < a or x > b
(x) is less than a union with (x) greater than (b)
Example 1
• Write and graph an inequality for all real
number that are less than -1 or greater than 2.
Example 2
• 3x – 1 < 2 or 2x + 2 ≥ 8
Example 3
• 3x + 2 < -1 or 4- x ≤ 2