Question

in a compound inequality, what does the term \or\ mean in terms of the solution? it has to make both inequalities true. it doesnt have to make either inequality true. it only has to make one of the inequalities true. rewatch

Explanation:

In logic and mathematics, for a compound inequality with "or", the solution is the union of the solutions of the individual inequalities. That means a value in the solution set only needs to satisfy one of the inequalities. For example, if we have \(x > 4\) or \(x\leq6\), a value like \(x = 5\) (satisfies \(x>4\)) or \(x = 3\) (satisfies \(x\leq6\)) is in the solution set. It's not required for a value to satisfy both inequalities (as in an "and" compound inequality), and it can't be a value that satisfies neither.

Answer:

It only has to make one of the inequalities true.