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Linear Inequalities

When dealing with inequalities, we often want to rearrange the statement to make it more clear how the numbers have been divided. We do this in a manner similar to solving equations with one important exception: when multiplying by a negative number, we must remember to change the direction of the inequality.

For example, \( 3- 2x > 5 \) tells us something about \( x \). We can make the statement clearer in the following manner:

\[ \begin{align} 3-2x &> 5 \\ -2x &> 2 \\ x &< 1.
\end{align} \]

Note by Arron Kau
2 years, 7 months ago

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