 # Solving Single-Step Inequalities by Multiplication?

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The rules for solving inequalities are similar to those for solving linear equations. However, there is one exception, when multiplying or dividing by a negative number it is necessary to reverse the inequality sign.

Example:

Solve > 3

Solution: > 3 • 5 > 3 • 5

x > 15

Example:

Solve Solution: Solving a One Step Linear Inequality by Multiplying
This video provides two examples of solving one step linear inequalities in one variable by multiplying with the variable on the left. The solutions are also written using interval notation.
Example:
Solve and graph each inequality. Then express the solution using interval notation.
a) x/-2 > 3
b) 2/3 x ≥ 4
How to solve single-step inequalities by multiplication?

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