Respuesta :
Solution of the inequality |2n+5|>1 is -3>n>-2 so, the correct option is A.
Inequalities
We will take both positive and negative signs of Modulus to solve the given inequality.
Means we will make two inequality from the given inequality.
- -(2n+5)>1
- (2n+5)>1
How to solve inequality?
First we will solve -(2n+5)>1
[tex]-(2n+5) > 1\\2n+5 < -1\\2n < -1-5\\2n < -6\\n < -3[/tex]
Now, we will solve (2n+5)>1
[tex]2n+5 > 1\\2n > 1-5\\2n > -4\\n > -2[/tex]
Thus, we can say that the correct answer option A which is -3>n>-2.
Learn more about how to solve inequality is here:
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