WARM UP
Solve the inequality, graph it on a number line, and give your answer in set notation.
5.4 Solving Compound Inequalities
Learning Targets:
1. Solve a compound Inequality containing 'and' and graph it on a number line.
2. From a graph, write a compound inequality to represent the restrictions.
3. Solve a compound Inequality containing 'or' and graph it on a number line.
4. Write an inequality to represent a given sentence.
5. Apply to story problems.
Taken from ConnectED McGraw Hill
Compound Inequality: two inequalities considered together
For example: x < 10 and x > ­ 4
A compound inequality containing and is only true if both inequalities are true.
It's graph is where the graphs of the two inequalities overlap.
This is called the intersection of the two graphs.
An and statement can be written together:
Compound Inequality: two inequalities considered together
Another example: x < 3 or x > 6
A compound inequality containing or is only true if at least one of the inequalities is true.
This is called the union of the two graphs.
It's graph does not overlap, but goes in "opposite directions".
3 < 4x ­ 1 < 11
HW # 48 Worksheet 5.4