Final answer:
The statement about compound inequalities having inequality symbols going in opposite directions is false, as in a compound inequality the symbols will generally point in the same direction and relate to the same variable.
Step-by-step explanation:
The statement 'A compound inequality may have the inequality symbols going in opposite directions' is false. In a compound inequality, both parts of the inequality will relate to the same variable and will generally point in the same direction, like a < b and b < c, or they can be combined into one statement such as a < b < c. However, you could have a system of inequalities with opposite symbols, but that is not considered a compound inequality, rather it is a system of separate inequalities that need to be satisfied simultaneously. An example of such a system would be a < b and c > d.