State the range of possible values for x if (3x+5)(x-1) < 2x+7

Mathematics

1 answer:

lara31 [8.8K]2 years ago

8 0

we are given with the inequality

$(3x+5)(x-1) < 2x+7\\ \\$

Open the parenthesis we get on left side we get

$(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5$

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It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

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