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andrey2020 [161]
2 years ago
6

Let W(x,y) mean that student x has visited website y, where the domain for x consists of all students in your school and the dom

ain for y consists of all websites. Express each of these statements by a simple English sentence. ∃x∃y∀z((x ≠ y) ∧ (W(x, z) ↔ W(y, z)))
Mathematics
1 answer:
nikklg [1K]2 years ago
6 0

Answer:

The statement can be expressed as

There are two different students in your class who have visited the same websites.

Step-by-step explanation:

Given that

- W(x, y) mean that student x has visited website y.

- The domain of x consists of all students in your school

- The domain of y consists of all website.

It would help to know the meaning of the symbols used, this will help understand the statement better.

- ∧ means conjuction

- ∃ means 'there exists'

- ∀ means 'for all'

- ≠ means 'different from'

- ↔ means 'if and only if'

The statement

∃x∃y∀z((x ≠ y) ∧ (W(x, z) ↔ W(y, z)))

can be expressed as:

There are two different students in your class who have visited the same websites.

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