To calculate: The absolute value inequality |y+5|-3> -3 and write

fertilizeki

fertilizeki

Answered question

2021-12-06

To calculate: The absolute value inequality |y+5|-3> -3 and write solution set in interval notation.

Answer & Explanation

Travis Hicks

Travis Hicks

Beginner2021-12-07Added 29 answers

Formula Used:
|u|>k is equivalent to -k > u > k
Calculation:
First isolate the absolute value. Add 3 from all two parts of the inequality.
|y+5|-3+3>-3+3
|y+5|>0
The inequality is in the form |u|>k, where u=y+5. Write the equivalent compound inequality -k>u>k.
y+5>0 or y+5<0
y>-5 or y<-5
Therefore, solution set in interval notation is (,5)(5,).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?