Question

problem 19: (first taught in lesson 2) select the venn diagram that represents this set of conditional statements. every one of the angry fans thinks the umpire is blind. mike is an angry fan. therefore, mike must think the umpire is blind.

Explanation:

Step1: Analyze the first statement

The statement "Every one of the angry fans thinks the umpire is blind" means the set of angry fans is a subset of those who think the umpire is blind. So the circle representing "Angry fans" should be inside the circle representing "Thinks the umpire is blind".

Step2: Analyze the second statement

The statement "Mike is an angry fan" means "Mike" is an element of the set of "Angry fans". So "Mike" should be inside the "Angry fans" circle. The given Venn - diagram satisfies these two conditions.

Answer:

A. The Venn - diagram shown (where the circle of "Angry fans" is inside the circle of "Thinks the umpire is blind" and "Mike" is inside the "Angry fans" circle)