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Solving Inequalities

You solve inequalities as you would like any other equation. Here is an example:

2x+3>72x>4x>2\begin{align*} 2x + 3 &> 7 \\ 2x &> 4 \\ x &> 2 \end{align*}

As you can see we did this just like a normal equation.

Flipping Sign​

You now might see something like this, where each side is being dived by a negative number. Anytime there is dividing or multiplying by a negative number you switch the inequality to the opposite direction. See example:

\[ \frac{-3x}{5} \geq -4 \] \[ -3x \geq -20 \] \[ x \leq \frac{20}{3} \]