Questions: The sets H and D are given below. H=a, b, j D=a, g, h Find the intersection of H and D. Find the union of H and D. Write your answers using set notation (in roster form).

The sets H and D are given below.

H=a, b, j
D=a, g, h

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

Transcript text: ? QUESTION The sets $H$ and $D$ are given below. \[ \begin{array}{l} H=\{a, b, j\} \\ D=\{a, g, h\} \end{array} \] Find the intersection of $H$ and $D$. Find the union of $H$ and $D$. Write your answers using set notation (in roster forr

Solution

Solution Steps

To solve the given problem, we need to perform two set operations: intersection and union. The intersection of two sets contains all elements that are common to both sets. The union of two sets contains all elements that are in either set, without duplicates.

Solution Approach

Intersection: Identify the elements that are present in both sets $ H $ and $ D $.
Union: Combine all elements from both sets $ H $ and $ D $, ensuring no duplicates.

Step 1: Intersection of Sets

To find the intersection of the sets $ H $ and $ D $, we identify the elements that are common to both sets. The intersection is given by: \[ H \cap D = \{ a \} \]

Step 2: Union of Sets

Next, we calculate the union of the sets $ H $ and $ D $. The union includes all unique elements from both sets: \[ H \cup D = \{ a, b, g, h, j \} \]