3750.13 – Wind Farm Fun Facts


Denmark is a major manufacturer of wind turbines. Suppose both the following statements are true:

1. Some wind turbines in Ohio are not from Denmark, but are American-built.

2. All of the wind turbines in Cleveland are from Denmark.

From these two statements, which of the following can be concluded?

  1. Some American-built wind turbines are in Cleveland.

  2. All Cleveland wind turbines are not American-built.

  3. Some American-built wind turbines are not in Cleveland.

  4. No Cleveland wind turbine is American-built.

  5. Some wind turbines in Ohio, but not in Cleveland, were built in Denmark.


Solution

Statements b, c, and d are consequences of statements 1 and 2.