How do you graph the inequality #4x+y> -4#?

Answer 1

See below:

First let's find the equation of the line we'll be using, then we can deal with the inequality.

#4x+y=-4#

Let's put this into slope intercept form:

#y=-4x-4#

The graph of that line looks like this:

graph{-4x-4}

Now to determine what side to shade. I like to do this by seeing if the origin, #(0,0)#, is part of the solution:
#4x+y> -4#
#4(0)+0> -4=>0> -4 color(white)(000)color(green)root#

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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Answer 2

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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Answer from HIX Tutor

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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