Algebra-1

The inequality that requires the use of "OR" in its solution is: |6x - 21| > 17.

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, |6x - 21| > 17 can be written as: 6x - 21 > 17 OR 6x - 21 < -17. 6x - 21 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, 27 > |x + 3|

27 > |x + 3| can be written as |x + 3| ...