Final answer:
The statement is false because a compound inequality must involve two separate inequalities connected by 'and' or 'or'. The given inequality, 3x + 1 ≤ 8, only expresses one relationship.
Step-by-step explanation:
The compound inequality 3x + 1 ≤ 8 is considered an "and" inequality. This statement is False. A compound inequality involves two separate inequalities connected by the word 'and' or 'or'.
For example, a typical 'and' compound inequality would be 1 ≤ x + 3 ≤ 5, stating that x+3 is both greater than or equal to 1 and less than or equal to 5. The inequality given in the question, 3x + 1 ≤ 8, is a simple inequality because it expresses only one relationship between 3x + 1 and 8.