Mathematics

Mathematics

Problem

A classmate states, “Because 6 is divisible by 2, every number divisible by 2 is also divisible by 6.” Which principle justifies that finding the number 8 is enough to reject this statement? a) \text{A single example can prove a universal statement true} b) \text{One counterexample suffices to disprove a universal statement} c) \text{Two counterexamples are required to disprove a universal statement} d) \text{A single exception only weakens the claim; it cannot fully reject it}

Browse the problem library