# Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another.

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Solving Inequalities

What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

Manipulating Inequations -3 < 4 Add 5 to each side -3 + 5 < 4 + 5 2 < 9 It’s still true!

Manipulating Inequations… -3 < 4 Multiply each side by 5 -3 x 5 < 4 x 5 -15 < 20 True again!

Manipulating Inequations… -3 < 4 Multiply each side by -5 -3 x -5 < 4 x -5 15 < -20 Uh oh…

Rule: If we multiply or divide each side of an inequation by the same NEGATIVE number, we must REVERSE the inequality sign Let’s do an example… 12 – x < -6 + 2x

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