Algebra-1

To solve the inequality 5|x - 3| - 17 < 43, we can start by isolating the absolute value term.

Add 17 to both sides:

5|x - 3| < 60

Divide both sides by 5:

|x - 3| < 12

For an inequality of the form |A| < B, where A is an expression and B is a positive number, it can be rewritten as a compound inequality: -B < A < B.

In this case, |x - 3| < 12 can be written as: -12 < x - 3 < 12.

We can break the compound inequality into two separate inequalitie ...