Question

question
solve the following inequality algebraically.
|x + 7| < 6

Explanation:

Step1: Rewrite absolute value inequality

For $|A| < b$ where $b>0$, this is equivalent to $-b < A < b$. So:
$-6 < x + 7 < 6$

Step2: Subtract 7 from all parts

Subtract 7 to isolate $x$:
$-6 - 7 < x + 7 - 7 < 6 - 7$

Step3: Simplify all expressions

Calculate each segment of the inequality:
$-13 < x < -1$

Answer:

$-13 < x < -1$