use the venn diagram to determine the number of elements in the regions indicated below. b a or b b and c a

Question

Accepted Answer

### For region $ B $:
# Explanation:
## Step 1: Identify regions in $ B $
Regions in $ B $ are the parts of circle $ B $: $ 12 $ (only $ B $), $ 2 $ ( $ A \cap B $ not $ C $ ), $ 3 $ ( $ B \cap C $ not $ A $ ), $ 4 $ ( $ A \cap B \cap C $ ).
## Step 2: Sum the values
$ 12 + 2 + 3 + 4 = 21 $

# Answer:
$ 21 $

### For region $ A $ or $ B $ ( $ A \cup B $ ):
# Explanation:
## Step 1: Identify regions in $ A \cup B $
Regions in $ A \cup B $ are parts of $ A $ or $ B $: $ 10 $ (only $ A $ ), $ 12 $ (only $ B $ ), $ 2 $ ( $ A \cap B $ not $ C $ ), $ 4 $ ( $ A \cap C $ not $ B $ ), $ 3 $ ( $ B \cap C $ not $ A $ ), $ 4 $ ( $ A \cap B \cap C $ ).
## Step 2: Sum the values
$ 10 + 12 + 2 + 4 + 3 + 4 = 35 $

# Answer:
$ 35 $

### For region $ B $ and $ C $ ( $ B \cap C $ ):
# Explanation:
## Step 1: Identify regions in $ B \cap C $
Regions in $ B \cap C $ are parts common to $ B $ and $ C $: $ 3 $ ( $ B \cap C $ not $ A $ ), $ 4 $ ( $ A \cap B \cap C $ ).
## Step 2: Sum the values
$ 3 + 4 = 7 $

# Answer:
$ 7 $

### For region $ A $:
# Explanation:
## Step 1: Identify regions in $ A $
Regions in $ A $ are parts of circle $ A $: $ 10 $ (only $ A $ ), $ 2 $ ( $ A \cap B $ not $ C $ ), $ 4 $ ( $ A \cap C $ not $ B $ ), $ 4 $ ( $ A \cap B \cap C $ ).
## Step 2: Sum the values
$ 10 + 2 + 4 + 4 = 20 $

# Answer:
$ 20 $

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

For region \( B \):

Step 1: Identify regions in \( B \)

Step 2: Sum the values

Step 1: Identify regions in \( A \cup B \)

Step 2: Sum the values

Step 1: Identify regions in \( B \cap C \)

Step 2: Sum the values

Answer:

For region \( A \) or \( B \) ( \( A \cup B \) ):