This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the elements for Question 1, based on the Venn diagram: Question 1: List the elements of: i. N M This represents the union of set N and set M, which includes all elements present in either N or M or both. From the diagram: N = \f, e, g, a, r, c\ M = \h, t, a, r, c\ N M = \a, c, e, f, g, h, r, t\ ii. (M N)' First, find the intersection of M and N, which are the elements common to both sets. M N = \a, r, c\ Then, find the complement of (M N), which includes all elements in the universal set U that are not in (M N). The universal set U = \a, b, c, d, e, f, g, h, r, t, w\. (M N)' = U \a, r, c\ = \b, d, e, f, g, h, t, w\ iii. N M' This represents the elements that are in set N but not in set M. Elements in N: \f, e, g, a, r, c\ Elements in M: \h, t, a, r, c\ N M' = \e, f, g\ iv. M N This represents the elements that are in set M but not in set N. Elements in M: \h, t, a, r, c\ Elements in N: \f, e, g, a, r, c\ M N = \h, t\ v. U This represents the universal set, which includes all elements shown in the diagram. U = \a, b, c, d, e, f, g, h, r, t, w\ What's next?