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Is -y>-x+4 equal to y>x-4?

Answer 1

No. With an inequality, if you multiply both sides by a negative value the inequality is reversed #-y > -x+4# is equivalent to #y < x-4#

One way to see this is to add #(-y)# to both sides: #0 > (-x+4) +y# then subtract (-x+4) from both sides #x-4 < y# which could be written #y < x-4#

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Answer 2

Julia Adams

Yes, the inequality (-y > -x + 4) is equivalent to (y < x - 4) when multiplied by (-1) on both sides, changing the direction of the inequality.

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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.

Is -y&gt;-x+4 equal to y&gt;x-4?

Is -y>-x+4 equal to y>x-4?