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How do you solve and graph #-3n > 9#?

Answer 1

#n < -3#

#-3n > 9#

To solve for #n#, divide both sides by #color(blue)(-3)#. However, when we multiply or divide by a negative value in inequalities, the sign changes. In this example, the #># would change to #<#:
#(-3n)/color(blue)(-3) color(blue)(<) 9/color(blue)(-3)#

Therefore,
#n < -3#

Here's a graph of it on a number line:

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Answer 2

Savannah Anderson

To solve and graph -3n > 9:

Divide both sides by -3.
Remember to reverse the inequality sign when dividing by a negative number.

-3n > 9 n < -3

Graphically, you would represent this solution on a number line by shading to the left of -3, indicating all values less than -3.

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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.

How do you solve and graph #-3n &gt; 9#?

How do you solve and graph #-3n > 9#?