1. Let Ω be the set of possible outcomes from rolling a dice twice, Ω =
{(a; b) : a; b ∈ {1; 2; 3; 4; 5; 6}}. Let A be the subset of Ω given by
{(a; b) ∈ Ω : a + b ≥ 10} and let B be the subset {(a; b) ∈ Ω : a = 5}.
(a) Describe the sets A and B in words.
(b) Write A and B in list form (i.e. as a list of elements enclosed in
{: : :}).
(c) Write A ∪ B, A ∩ B and A \ B in list form.
(d) Describe the set Ω \ A in words.
{(a; b) : a; b ∈ {1; 2; 3; 4; 5; 6}}. Let A be the subset of Ω given by
{(a; b) ∈ Ω : a + b ≥ 10} and let B be the subset {(a; b) ∈ Ω : a = 5}.
(a) Describe the sets A and B in words.
(b) Write A and B in list form (i.e. as a list of elements enclosed in
{: : :}).
(c) Write A ∪ B, A ∩ B and A \ B in list form.
(d) Describe the set Ω \ A in words.