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How do you solve and graph # 1/3n >= 9 #?

Answer 1

Savannah Anderson

#n >= 27#

#1/3n >= 9#

Multiply both sides by #color(blue)3# to solve for #n#:
#1/3n color(blue)(*3) >= 9 color(blue)(*3)#

#n >= 27#

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

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Answer 2

Julia Adams

To solve and graph the inequality ( \frac{1}{3}n \geq 9 ), first multiply both sides by 3 to get rid of the fraction. This gives us ( n \geq 27 ). Next, we plot a solid dot at 27 on the number line to represent the solution including that point. Then, since the inequality symbol is "greater than or equal to," we shade the region to the right of 27 to represent all values greater than or equal to 27. Finally, draw an arrow to the right to indicate that the graph continues indefinitely in that direction.

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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 # 1/3n &gt;= 9 #?

How do you solve and graph # 1/3n >= 9 #?