**Let π(π₯, π¦) denote "π₯ + π¦ = π¦β. What are the truth values of the quantifications βπ¦βπ₯π(π₯, π¦) and βπ₯βπ¦π(π₯, π¦) where the domain for all variables consists of all real numbers?**

The **Answer to the Question**

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**Here's the Solution to this Question**

1) βπ¦βπ₯π(π₯, π¦)

Since for every y we can put x = 0, and thenΒ $0 + y = y\implies y=y$Β , which means this statement is true

2) βπ₯βπ¦π(π₯, π¦)

Since, for example, for x = 2 we haveΒ $2 + y = y\implies 0=2$Β , which means this statement is false