Which of the following sets of Roman numerals are written in ascending order?

Options

A. `V, L , X, I`
B. `I, V , L, X`
C. `I, V, X, L`
D. `X, V, I, L`

Answer

To determine which set of Roman numerals is written in ascending order, we need to convert each Roman numeral into its corresponding Arabic numeral value. Let's analyze the options step by step.

### Step 1: Identify the Roman Numerals and Their Values
We need to know the values of the Roman numerals:
- I = 1
- V = 5
- X = 10
- L = 50

### Step 2: Analyze Each Option
Let's check each option to see if they are in ascending order.

**Option 1:**
- V = 5
- L = 50
- X = 10
- I = 1

Values: 5, 50, 10, 1
Order: 5 < 10 < 50 (not in ascending order)

**Option 2:**
- I = 1
- V = 5
- L = 50
- X = 10

Values: 1, 5, 50, 10
Order: 1 < 5 < 10 < 50 (not in ascending order)

**Option 3:**
- I = 1
- X = 10
- L = 50

Values: 1, 10, 50
Order: 1 < 10 < 50 (in ascending order)

**Option 4:**
- X = 10
- V = 5
- I = 1
- L = 50

Values: 10, 5, 1, 50
Order: 10 > 5 > 1 < 50 (not in ascending order)

### Step 3: Conclusion
After analyzing all options, we find that **Option 3** is the only set of Roman numerals that is written in ascending order.

### Final Answer
The set of Roman numerals that are written in ascending order is **Option 3**.

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