Write each of the following sets in set- builder form :
B = {1,2,3,5,6,10,15,30 }

Answer

To write the set \( B = \{1, 2, 3, 5, 6, 10, 15, 30\} \) in set-builder form, we will follow these steps:

### Step 1: Identify the Elements of the Set
First, we observe the elements of the set \( B \). The elements are \( 1, 2, 3, 5, 6, 10, 15, \) and \( 30 \).

### Step 2: Determine a Common Property
Next, we need to find a common property that all these elements share. Upon examining the numbers, we can see that they are all factors of \( 30 \).

### Step 3: Write in Set-Builder Notation
In set-builder notation, we express the set by stating the property that defines its elements. Since all elements are factors of \( 30 \), we can write:

\[ B = \{ x \mid x \text{ is a factor of } 30 \} \]

### Final Answer
Thus, the set \( B \) in set-builder form is:

\[ B = \{ x \mid x \text{ is a factor of } 30 \} \]

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