Question

Find A ∪ B, A ∩ B, A – B and B – A for the following sets

A = Set of all letters in the word “mathematics” and

B = Set of all letters in the word “geometry”

Answer 1

A = {m, a, t, h, e, i, c, s}

B = {g, e, o, m, t, r, y}

A ∪ B = {m, a, t, h, e, i, c, s} ∪ {g, e, o, m, t, r, y}

= {a, c, e, g, h, i, m, o, r, s, t, y}

A ∩ B = {m, a, t, h, e, i, c, s} ∩ {g, e, o, m, t, r, y}

= {e, m, t}

A – B = {m, a, t, h, e, i, c, s} – {g, e, o, m, t, r, y}

= {a, c, h, i, s}

B – A = {g, e, o, m, t, r, y} – {m, a, t, h, e, i, c, s}

= {g, o, r, y}