How do you graph the inequality #4x+y> -4#?
See below:
First let's find the equation of the line we'll be using, then we can deal with the inequality.
Let's put this into slope intercept form:
The graph of that line looks like this:
graph{-4x-4}
So we'll shade the origin side (because it made our statement true):
graph{y+4x+4>0}
Notice our line in this graph is dotted - it indicates that the points on the graph are not part of the solution.
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To graph the inequality 4x + y > -4, you would first graph the boundary line 4x + y = -4 (which is a straight line). Then, since the inequality is "greater than," you would shade the region above the line (not including the line itself).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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