Question

If

Solve the following problems and draw Venn diagrams for each of them.

Answer 1

M = {g, b, c}

N = {a, e, i, o, u}

P = {v, w, x, y, z}

(1) M ∪ N = {g, b, c} ∪ {a, e, i, o, u}

= {a, b, c, e, g, i, o, u}

And the Venn diagram is:

(2) N ∪ P = {a, e, i, o, u} ∪ {v, w, x, y, z}

= { a, e, i, o, u, v, w, x, y, z}

And the Venn diagram is:

(3) M ∪ P = {g, b, c} ∪ {v, w, x, y, z}

= { g, b, c, v, w, x, y, z}

And the Venn diagram is:

(4) (M ∪ N) ∪ P = {g, b, c, a, e, i, o, u} ∪ {v, w, x, y, z}

(From (1) M ∪ N = { g, b, c, a, e, i, o, u })

= {a, b, c, e, g, i, o, u, v, w, x, y, z}

And the Venn diagram is:

(5) M ∪ (N ∪ P) = {g, b, c} ∪ { a, e, i, o, u, v, w, x, y, z}

(From (2) N ∪ P = { a, e, i, o, u, v, w, x, y, z}

= { g, b, c, a, e, i, o, u, v, w, x, y, z}

And the Venn diagram is: