Questions: The sets D and I are given below. D=c, f, g I=d, e, h Find the union of D and I. Find the intersection of D and I. Write your answers using set notation (in roster form). D ∪ I= D ∩ I=

The sets D and I are given below.

D=c, f, g
I=d, e, h

Find the union of D and I.
Find the intersection of D and I.
Write your answers using set notation (in roster form).

D ∪ I=

D ∩ I=

Transcript text: The sets $D$ and $I$ are given below. \[ \begin{array}{l} D=\{c, f, g\} \\ I=\{d, e, h\} \end{array} \] Find the union of $D$ and $I$. Find the intersection of $D$ and $I$. Write your answers using set notation (in roster form). \[ D \cup I= \] $\square$ $D \cap I=$ $\square$ $\square$

Solution

Solution Steps

Step 1: Understand the Problem

We are given two sets, $ D $ and $ I $, and we need to find their union and intersection. The sets are defined as follows:

\[ D = \{c, f, g\} \] \[ I = \{d, e, h\} \]

Step 2: Find the Union of Sets $ D $ and $ I $

The union of two sets $ D $ and $ I $, denoted as $ D \cup I $, is the set of elements that are in either $ D $, $ I $, or both. We combine all unique elements from both sets.

\[ D \cup I = \{c, f, g, d, e, h\} \]

Step 3: Find the Intersection of Sets $ D $ and $ I $

The intersection of two sets $ D $ and $ I $, denoted as $ D \cap I $, is the set of elements that are common to both $ D $ and $ I $. Since there are no common elements between $ D $ and $ I $, the intersection is an empty set.

\[ D \cap I = \emptyset \]