Questions: Use A=0,5,7,8,9 and B=0,6,8,9 to find the set A ∩ B.

Transcript text: Use $A=\{0,5,7,8,9\}$ and $B=\{0,6,8,9\}$ to find the set $A \cap B$.

Solution

To find the intersection of two sets $ A $ and $ B $, we need to identify the elements that are common to both sets.

Step 1: Define Sets $ A $ and $ B $

Given: \[ A = \{0, 5, 7, 8, 9\} \] \[ B = \{0, 6, 8, 9\} \]

Step 2: Find the Intersection of Sets $ A $ and $ B $

The intersection of two sets $ A $ and $ B $, denoted as $ A \cap B $, is the set of elements that are common to both $ A $ and $ B $.

Step 3: Identify Common Elements

By comparing the elements of sets $ A $ and $ B $, we find the common elements: \[ A \cap B = \{0, 8, 9\} \]

$\boxed{A \cap B = \{0, 8, 9\}}$

Was this solution helpful?

Unhelpful

Helpful