State whether each of the following set is finite or infinite:(i) The set of lines which are parallel to the x–axis(ii) The set of letters in the English alphabet(iii) The set of numbers which are multiple of 5(iv) The set of animals living on the earth(v) The set of circles passing through the origin (0, 0)

Explanation

To determine whether each of the following sets is finite or infinite, we will analyze each case step by step:

### Step 1: Set of lines which are parallel to the x-axis
- **Analysis**: Lines parallel to the x-axis can be represented by the equation \( y = c \), where \( c \) can take any real number value. Since there are infinitely many real numbers, there are infinitely many lines parallel to the x-axis.
- **Conclusion**: This set is **infinite**.

### Step 2: Set of letters in the English alphabet
- **Analysis**: The English alphabet consists of a fixed number of letters, specifically 26 letters (A to Z). This number can be counted and does not change.
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