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

Ben Shaver

Ben Shaver

Answered question

2021-12-09

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

Answer & Explanation

Vivian Soares

Vivian Soares

Beginner2021-12-10Added 36 answers

Formula Used:
|u|=k is equivalent to u=k or 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
y+5=0
y=-5
Therefore, solution set in interval notation is {-5}.

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