# How do you solve and graph 3x>=15?

Jul 31, 2016

$x \ge 5$

$x$ assumes all the values that are 5 or higher

#### Explanation:

Divide both sides by 3 giving

$\frac{3}{3} x \ge \frac{15}{3}$

$1 \times x \ge 5$

$x \ge 5$

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$\textcolor{b l u e}{\text{A note about drawing the graph}}$

Just for a moment, suppose that the answer was $x > 5$

This means that $x$ can never actually take on the value of 5. It is always a higher value no matter how small the difference.

In this case the line plotted would be a dotted line

Now consider the actual answer of $x \ge 5$

This means that $x$ can actually assume the value of 5 so you would draw a solid line