Lesson 5, Topic 1
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# Linear Inequalities

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#### Topic Content:

• Linear Inequalities

Inequality is a mathematical statement that compares two expressions. The statement resembles the usual equation except that the equality sign (=) is replaced by one of the following inequality signs:

$$\scriptsize <$$ is less than
$$\scriptsize >$$ is greater than
$$\scriptsize \leq$$ is less than or equal to
$$\scriptsize \geq$$ is greater than or equal to

The rules for dealing with inequalities are:

1. We can add the same number to both sides.
2. We can subtract the same number from both sides of the inequality.
3. We multiply or divide both sides of the inequality by the same positive number.
4. We can multiply or divide both sides of the inequality by the same negative number if, and only if, we change the inequality sign i.e > to <, < to >, ≤ to ≥,  ≥ to ≤.

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