Question

What is the solution to the inequality |2n+5|>1?

Answer 1

Answer: C on edge

Step-by-step explanation: I just did it.

Answer 2

ANSWER

$n < - 3 \: or \: n> - 2$



EXPLANATION



The given inequality is,

$|2n + 5| \: > \: 1$


By the definition of absolute value,



$- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1$



We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

$2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 1$

We simplify now to get,

$2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 5$


$2n \: < \: - 6 \: or \: 2n \: > \: - 4$


Divide through by 2 to obtain,

$n \: < \: - 3 \: or \: n \: > \: - 2$