From the Venn-diagram, answer the following questions: a) What is the cardinal number of the universal set? b) Write the set (G n K) by listing method. c) Prove that: G U H = G U H d) What percent of the elements of universal set U have (G U H U K)?

Here are the solutions to the questions based on the provided Venn diagram. Question 2 cannot be answered as the tax information is missing.

Question 1: From the Venn-diagram given alongside answer the following questions.

The elements in the Venn diagram are: Universal Set $U = \{a, b, c, d, e, f, g, i, m\}$ Set $G = \{a, b, c, g, i\}$ Set $H = \{c, d, e, g\}$ Set $K = \{f, g, i\}$

a) What is the cardinal number of the universal set U?

Step 1: List all distinct elements in the universal set U from the Venn diagram. $U = \{a, b, c, d, e, f, g, i, m\}$

Step 2: Count the number of elements in U. $|U| = 9$ The cardinal number of the universal set U is $\boxed{*9*}$.