The problem box says ` Show that {n : ℤ | n ≡ 1 [ZMOD 5]} ∩ {n : ℤ | n ≡ 1 [ZMOD 5]} = ∅ ` but should say ` Show that {n : ℤ | n ≡ 1 [ZMOD 5]} ∩ {n : ℤ | n ≡ 2 [ZMOD 5]} = ∅ `
The problem box says
Show that {n : ℤ | n ≡ 1 [ZMOD 5]} ∩ {n : ℤ | n ≡ 1 [ZMOD 5]} = ∅but should say
Show that {n : ℤ | n ≡ 1 [ZMOD 5]} ∩ {n : ℤ | n ≡ 2 [ZMOD 5]} = ∅