WU 36

1
WU 36

• Solve 1. x 4 9
• 7x 2 5
• 3x 2 4 21
• Write the inequality shown
• 4.
• 5.

0
-3
2
-4
4
0
2
9.4 Inequalities and Absolute Value

• Goal(s) Solve and graph inequalities involving
  absolute value in the form of
• A gt b and A lt b

3
2 Cases

• A ltb (less than)
• Conjunction
• -bltAltb

• A gtb (greater than)
• Disjunction
• Alt-b or Agtb

4
Solve and graphx 2 ? 5
x 2 -5
x 2 5
x 3
x -7
To solve an inequality of the form A lt b, where
b is a positive number, we solve the conjunction
b lt A lt b.
5
Solve and graph4x - 10 gt 2
4x - 10 2
x 3

1. Solve for both end points.
2. Write solution as disjunction (xlt 2 or x gt 6)

6
Solve and graph3x - 8 ? 5
3x - 8 5
3x 13
To solve an inequality of the form A gt b, where
b is a positive number, we solve the disjunction
A lt -b or A gt b.
7
Solve and graph3x ? 18
x 6
x -6
-6 ? x ? 6
To solve an inequality of the form A lt b, where
b is a positive number, we solve the conjunction
b lt A lt b.
8
Solve and graph 3x 4 ? 2
x 2
2/3 ? x ? 2
9
Solve and graph 4x 9 ? 7
x 4
10
Solve and graph 3x 4 ? 19
x 5
11
Solve and graph 7x 4 6 ? 2
12
Solve
13
AssignmentPage 415(2-38) even