In mathematics, the upside-down V symbol (∧) is known as the logical conjunction or the AND operator. It is used to represent the logical AND operation between two statements. When you see this symbol, it means that both statements connected by the ∧ must be true for the entire expression to be true.
For example, consider the following statements:
- Statement A: It is raining.
- Statement B: I am carrying an umbrella.
If we write A ∧ B, it means “It is raining AND I am carrying an umbrella.” For this expression to be true, both statements A and B must be true. If either one is false, the entire expression is false.
Here’s another example in a mathematical context:
Let’s say:
- Statement X: x > 5
- Statement Y: x < 10
The expression X ∧ Y would mean “x is greater than 5 AND x is less than 10.” This is often written as 5 < x < 10 in mathematical notation.