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Mr. Borosky
Section 6.4
Algebra 1
6.4 Solve Compound Inequalities p. 380-387
Objective: 1. You will solve compound inequalities.
Compound Inequality – consists of 2 separate inequalities joined by
AND or OR.
The graph of a Compound Inequality with AND is the Intersection
(where they are common) of the graphs of the 2 inequalities.
AND inequalities Normally shade Between the 2 points.
In order for a number to be a solution to an AND compound inequality
it has to be a solution to both inequalities.
The graph of a Compound Inequality with OR is the Union (take
everything) of the graphs of the 2 inequalities.
OR inequalities Normally shade out from the 2 points.
In order for a number to be a solution to an OR compound inequality
it has to be a solution to at least one inequality.
Normally we have 1. AND shade in , 2. OR shade out
To graph an inequality in one variable use an OPEN CIRCLE if your
sign is < or > and a CLOSED CIRCLE if your sign is ≤ or ≥.
If you have an And compound inequality it can be written with and
between the 2 inequalities or as one compound inequality without the
AND. Example: 5 < x + 3 AND x + 3 < 9 or write as 5 < x + 3 < 9
6.4 Solve Compound Inequalities p. 380-387
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