Algebra-1

The inequality that does not require the use of "AND" in its solution is: -6|x - 8| < -24.

-6|x - 8| < -24 can be simplified to |x - 8| > 4.

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, |x - 8| > 4 can be written as: x - 8 > 4 OR x - 8 < -4. x - 8 can satisfy either of these two inequalities but does not need to satisfy both at the same time, so they are connected by "OR"

For the other inequalities:

Option A, 9|x + 2| < 18