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Kay [80]
3 years ago
11

What is the solution to the inequality l2n+5l > 1

Mathematics
2 answers:
posledela3 years ago
7 0
|2n+5| \ \textgreater \  1\\
2n+5\ \textgreater \ 1 \vee 2n+5\ \textless \ -1\\
2n\ \textgreater \ -4 \vee 2n\ \textless \ -6\\
n\ \textgreater \ -2 \vee n\ \textless \ -3\\
n\in(-\infty,-3)\cup(-2,\infty)
Mamont248 [21]3 years ago
6 0

<span>l2n+5l > 1

</span><span>(2n+5) > 1
    2n > - 4
      n > -2

</span>-(2n+5) > 1
    -2n - 5 > 1
      -2n  > 6
         n < -3

answer
n<-3 or n>-2
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exis [7]

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Doesn't have solution.

Step-by-step explanation:

x ≠ 0; x > 0 (I)

x - 5 > 0

x > 5 (II)

log_6 x + log_6 (x + 5) = 2 \\\ log_6 [x(x + 5)] = 2 \\\ x^2 + 5x = 36 \\\ x^2 + 5x - 36 = 0 \\\ \Delta = 5^2 - 4.1.(- 36) \\\ \Delta = 169 \\\ \sqrt{\Delta} = \pm 13 \\\ x' = \frac{- 5 + 13}{2} \\\\ x' = 4 \\\ x" = \frac{- 5 - 13}{2} \\\\ x" = - 9

Then, this expression doesn't have solution.

I Hope I've helped you.

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