Algebra-1

The inequality that does not require the use of "AND" in its solution is: 18 ≤ 3|x - 5|.

18 ≤ 3|x - 5| can be simplified to 6 ≤ |x - 5|. It can be written as: |x - 5| ≥ 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, |x - 5| ≥ 6 can be written as: x - 5 ≥ 6 OR x - 5 ≤ -6. x - 5 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: