Embedded Files
MATHEMATICS OBJECTIVE
Students will be able to:
Write inequalities and solve them using the Multiplication and Division Properties of Inequality.
Graph the solutions of inequalities on a number line.
ESSENTIAL UNDERSTANDING
The process of using multiplication and division to solve inequalities is similar to that of solving equations. An important difference is that multiplying or dividing by a negative number reverses the sign of the inequality.
I can write and solve inequalities involving Multiplication and Division.
I can graph the solutions of an inequality on a number line.
SOLVING INEQUALITIES WITH MULTIPLICATION AND DIVISION
Solving inequalities with multiplication and division is the same as solving
equations with multiplication and division when the values are positive. Use the
inverse relationship between multiplication and division to isolate the variable.
Example 1 (positive divisor):
2.5x ≥ 15
2.5x / 2.5 ≥ 15 / 2.5
x ≥ 6
Diagram note: Use inverse relationships and properties of inequality to isolate
the variable.
When multiplying or dividing by negative values, the inequality symbol is reversed.
Example 2 (negative divisor):
-2.5x ≥ 15
-2.5x / -2.5 ≤ 15 / -2.5
x ≤ -6
Diagram note: Multiplying or dividing by a negative value reverses the inequality.
Page updated
Google Sites
Report abuse