Respuesta :
Answer: n = 9 is a solution.
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Explanation:
Let's replace n with 9 to see if we get a true inequality or not.
2n > 16
2*9 > 16
18 > 16
We get a true statement since 18 is indeed larger than 16. Therefore, n = 9 is a solution.
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Here's another way to tackle the problem:
We can isolate n as if solving an equation. Divide both sides by 2 to do this. The inequality sign does not flip (it only does so if you divide both sides by a negative number).
So we get...
2n > 16
2n/2 > 16/2
n > 8
The solution set is any number larger than 8. Since n = 9 fits the description, that's one of the infinitely many solutions.
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Side note: The graph will involve an open hole at 8 and shading to the right on the number line.
