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Nitella [24]
3 years ago
12

Which value below is included in the solution set for the inequality statement?

Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

You haven't provided any value, but I can tell you the solution set for the inequality.

First of all, expand both sides:

-3x+12 > 6x-6

Add 3x to both sides:

12 > 9x-6

Add 6 to both sides:

18 > 9x

Which is of course equivalent to

9x < 18

Divide both sides by 9

x < 2

So, every number smaller than 2 is part of the solution of this inequality.

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<h3>Answer:   a_n = 10n+30</h3>

n starts at 1, and n is a positive whole number (1,2,3,...)

======================================================

Explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

--------

a1 = 40 = first term

d = 10 = common difference

a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get a_1 = 40

Plug in n = 2 and you should get a_2 = 50

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3 years ago
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