Question

Tell whether the given value is a solution of the inequality . 2n > 16; n=9

Answer 1

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.