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MATHEMATICS OBJECTIVE
Students will be able to:
graph the solution of inequalities on a number line.
solve inequalities using the Addition and Subtraction Properties of
Inequality.
ESSENTIAL UNDERSTANDING
The process of solving inequalities is similar to that of solving equations. When the same number is added to or subtracted from both sides of an inequality, the relationship between the sides stays the same.
I can graph the solution of inequalities on a number line.
I can solve inequalities involving addition and subtraction.
SOLVING INEQUALITIES WITH ADDITION AND SUBTRACTION
Solving inequalities with addition and subtraction is the same as solving
inequalities with addition and subtraction. Use the inverse relationship
between addition and subtraction to isolate the variable.
Example 1:
x + 15.76 > 26.05
x + 15.76 - 15.76 > 26.05 - 15.76
x > 10.29
Example 2:
-6 4/5 + y ≤ 3 1/10
-6 4/5 + y + 6 4/5 ≤ 3 1/10 + 6 4/5
y ≤ 9 9/10
REMINDER
The Addition and Subtraction Properties of Inequality are like the Addition
and Subtraction Properties of Equality.
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