Algebra-1

To solve the inequality 3|x + 1| - 7 > 11, we can start by isolating the absolute value term.

Add 7 to both sides:

3|x + 1| > 18

Divide both sides by 3:

|x + 1| > 6

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

In this case, the inequality |x + 1| > 6 can be rewritten as: x + 1 > 6 or x + 1 < -6.

We can solve each inequality separately, ...