AND, OR, and Absolute Value Equations

1
AND, OR, and Absolute Value Equations

• Presented by Patricia Crocker

2
Conjunctions

• How are conjunctions used in English?
• To connect independent thoughts
• Name some conjunctions.
• And, or, but, either-or, neither-nor

3
AND, OR

• What meaning does AND have?
• Things are taken together both parts are needed
• What meaning does OR have?
• One part or the other is needed, but not both

4
Examples in Life

• 20o F _____ Rain
• OR
• Liberia _____ Africa
• AND
• Negative integers _____ -1, -3, -5
• AND
• Madonna _____ Tom Cruise
• OR

5
Create Conjunctions

• Snow AND ___________
• North of I-64 OR ___________
• _________ AND _________
• Hammer and nail

6
Map Activity

• If you are east of Shafer St. and west of
  Belvidere, on what two north-south streets could
  you be?
• Pine or Laurel

7
Solving Inequalities

• -2x 3 lt 7
• -2x lt 10
• x gt -5
• What happens when you multiply or divide an
  inequality by a negative number?
• The inequality sign reverses.

8
Absolute Value Inequalities

• X 5 lt 8 AND X 5 gt -8
• X lt 3 X gt
  -13
• Answer -13 lt x lt 3

9
Absolute Value Inequalities

• 2x1 gt 7 OR 2X 1 lt -7
• 2X gt 6 2X lt
  -8
• X gt 3 X lt
  -4
• Answer x lt -4 or x gt 3

10
Rules

• In absolute value equations
• Less Than means AND
• Greater Than means OR
• Always switch the inequality sign for the
  negative number.