Algebra-1

The inequality that requires the use of "OR" in its solution is: |x + 7| > 26.

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 + 7| > 26 can be written as: x + 7 > 26 OR x + 7 < -26. x + 7 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 B, |3x - 15| ≤ 24

This inequality is of the form |A| ≤ B and c...