How do you graph #x+y<-4#?

Answer 1

See explanation

Note: if the inequality had been #x+y<=-4# you would have used a solid line.

Although not the case, just for now consider it as #x+y=-4# to determine the line to be graphed.

Subtract #x# from both sides

#y=-x-4#

This will plot the line. However what we really have is:

#x+y<-44#

Subtract #x# from both sides

#y<-x-4#

As #y# is 'less than' something done to #x#, the value of #y# can never actually be the value on the line. Consequently we use a dotted line to signify this condition. You would also use a dotted line for greater than.

To indicate that #y# can take on any value less then the line the area under the line (less than) is shaded.

So we have:

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Answer 2

To graph the inequality ( x + y < -4 ), first graph the boundary line ( x + y = -4 ) as a dashed line. Then, shade the region below the line, because the inequality is "less than."

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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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