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How do you solve #39< - 9+ 4n#?

Answer 1

Savannah Anderson

#n > 12#

in interval notation

#n = (12, oo)#

#39 < -9 + 4n#

add #9# to both sides

#color(red)(9+)39 < cancel(-9 )+ 4n cancel(color(red)( +9))#

#48 < 4n#

divide each side by four.

#12 < n#

#n > 12#

using interval notation

#n = (12, oo)#

12 is not included try to substitute 12 in #n# place you will get 48<48 which is wrong

If you try to substitute numbers bigger than 12, you'll get the right response.

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Answer 2

Avery Alexander

To solve the inequality (39 < -9 + 4n), follow these steps:

Add 9 to both sides to isolate the term containing (4n): [39 + 9 < -9 + 9 + 4n]
Simplify both sides: [48 < 4n]
Divide both sides by 4 to solve for (n): [\frac{48}{4} < \frac{4n}{4}]
Simplify both sides: [12 < n]

So, the solution to the inequality is (n > 12).

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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 #39&lt; - 9+ 4n#?

How do you solve #39< - 9+ 4n#?