Let A = { x: x is a multiple of 2, x < 15 } ,
B = {x:x is a multiple of 3,x < 20 },
C = { x : x is a prime x < 20 },
Write each one of the sets A ,B ,C in Roster form.

Answer

To convert the sets A, B, and C from set builder form to roster form, we will follow these steps:

### Step 1: Convert Set A to Roster Form
Set A is defined as:
\[ A = \{ x : x \text{ is a multiple of } 2, x < 15 \} \]

**Finding multiples of 2 less than 15:**
- The multiples of 2 are: 0, 2, 4, 6, 8, 10, 12, 14.

Thus, the roster form of Set A is:
\[ A = \{ 0, 2, 4, 6, 8, 10, 12, 14 \} \]

### Step 2: Convert Set B to Roster Form
Set B is defined as:
\[ B = \{ x : x \text{ is a multiple of } 3, x < 20 \} \]

**Finding multiples of 3 less than 20:**
- The multiples of 3 are: 0, 3, 6, 9, 12, 15, 18.

Thus, the roster form of Set B is:
\[ B = \{ 0, 3, 6, 9, 12, 15, 18 \} \]

### Step 3: Convert Set C to Roster Form
Set C is defined as:
\[ C = \{ x : x \text{ is a prime number, } x < 20 \} \]

**Finding prime numbers less than 20:**
- The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19.

Thus, the roster form of Set C is:
\[ C = \{ 2, 3, 5, 7, 11, 13, 17, 19 \} \]

### Final Answer
The sets in roster form are:
- \( A = \{ 0, 2, 4, 6, 8, 10, 12, 14 \} \)
- \( B = \{ 0, 3, 6, 9, 12, 15, 18 \} \)
- \( C = \{ 2, 3, 5, 7, 11, 13, 17, 19 \} \)