7.4 Compound Inequalities

1
7.4 Compound Inequalities

• Using and and or

2
Intervals

• Represent each situation with a graph and an
  inequality
• All years before 3000 B.C. are part of
  prehistory.
• Water is liquid at temperatures between 0oC and
  100oC.
• The measure of an obtuse angle is between 90o and
  180o.
• Cirrus clouds are found above 7 km.

3
Intersections

• Suppose Jarrod says I will buy peanuts and
  raisins. He bought only peanuts. Was his
  statement accurate?
• A compound inequality containing and is true
  only if both inequalities are true.
• The graph of a compound inequality containing
  and is the intersection of the graphs of the
  two inequalities.

4
Graphing intersections

• Explore graphing intersections using the Gizmo
  Compound Inequalities
• Graph the solution set of x lt 10 and x lt
  5.
• Solve -3 lt x 2 0. Then graph the solution
  set.

5
Unions

• Jarrod is at a food store and says, I will buy
  peanuts or I will buy raisins. Is his statement
  accurate if
• He buys peanuts only.
• He buys raisins only.
• He buys a mixture of raisins and peanuts.
• A compound inequality containing or is true if
  one or more of the inequalities is true.
• The graph of a compound inequality containing
  or is the union of the graphs of the two
  inequalities.

6
Graphing unions

• Explore graphing unions using the Gizmo Compound
  Inequalities
• Graph the solution set of x 3 or x lt 2.
• Solve 3m gt m 4 or -2m gt m 6. Then graph the
  solution set.

7
Assignment

• 7.4 1-17, 54, 55, 59 68.