What is an inequality for the attached graph?

Mar 2, 2018

$y > - 5$

Explanation:

Let's find the equation first. This is a straight line, where every value of y is $- 5$. So the equation of the line is $y = - 5$

graph{y = -5x/x}

$\textcolor{w h i t e}{0}$

Now we need to find out of the sign is $< \mathmr{and} >$ or if it is $\ge \mathmr{and} \le$

Since the line is dashed, the sign in either $< \mathmr{and} >$

$\textcolor{w h i t e}{0}$

The shaded area shows values greater than $- 5$

So our inequality is $y > - 5$