Day Problems

1
Day Problems

• Is each number following the inequality a
  solution of the given inequality?
• 1. v -5 4 2. b lt 4 -0.5
• Graph each inequality.
• 3. x gt 1 4. y -4
• 5. a 7

2
3.2 Solving Inequalities Using Addition and
Subtraction

• Equivalent Inequalities inequalities with the
  same solutions.
• Addition Property of Inequality
• For every real number a, b, and c,
• if a gt b, then a c gt b c if a lt b,
  then a c lt b c
• EXAMPLES
• 3 gt 1, so 3 2 gt 1 2 -5 lt 4, so -5 2 lt 4
  2
• This property is also true for and .

3
Using the Addition Property of Inequality

• Solve x 3 lt 5. Graph the solution.
• x 3 lt 5
• 3 3
• x lt 8

1
2
5
6
7
4
9
3
8
4
Solving and Checking Solutions

• Solve 12 x - 5. Graph the solution.
• 12 x - 5
• 5 5
• 17 x

0

20
25
30
10
5
Check

• 12 x 5
• 12 17 5
• 12 12 true
• 12 x 5
• 12 18 5
• 12 13 true

6

• Subtraction Property of Inequality
• For every real number a, b, and c,
• if a gt b, then a - c gt b - c if a lt b,
  then a - c lt b - c
• EXAMPLES
• 3 gt -1, so 3 - 2 gt -1 - 2 -5 lt 4, so -5 - 2 lt 4
  - 2
• This property is also true for and .

7
Using the Subtraction Property of Inequality

• Solve y 5 lt -7. Graph the solution.
• y 5 lt -7
• - 5 -5
• y lt -12

-6
0
6
-12
8
More Practice!!!!

• Textbook p. 142 143 2 14 even, 20 34
  even.
• Homework p. 142 143 1 15 odd, 21 33
  odd.