What can you not do with linear inequalities?

The correct choice indicates that you cannot arbitrarily subtract one linear inequality from another without considering the implications for the direction of the inequality. When dealing with linear inequalities, certain operations must be performed with caution to maintain the validity of the inequality.

For instance, when you add or subtract the same value from both sides of an inequality, the direction of the inequality remains unchanged. However, subtraction is sometimes misinterpreted, particularly if the inequalities are manipulated in a way that could lead to reversal of the inequality direction.

Multiplication and division can be performed on inequalities, but it is crucial to remember that if you multiply or divide by a negative number, the direction of the inequality must be reversed. This complexity makes subtraction less straightforward than the other operations, leading to potential misunderstandings or incorrect results.

Thus, while you technically can subtract inequalities, the way you do so must be approached thoughtfully, making it more complicated compared to the other operations, which can be performed under clearer rules.