- 116

- 7

**1. Homework Statement**

Give your own example of a statement with two different quantifiers which changes its meaning and truth value when the order of the quantifiers is exchanged.

**2. Homework Equations**

**3. The Attempt at a Solution**

(∀x∈ℝ)(∃x∈ℝ)(xy=0) is true but (∃x∈ℝ)(∀x∈ℝ)(xy=0) is false.

Is this correct?