Write `{x :x in R ,-3 le x lt 7}` as interval .

Answer

To convert the set notation `{x : x ∈ R, -3 ≤ x < 7}` into interval notation, we will follow these steps:

1. **Identify the range of values**: The expression states that x is a real number (x ∈ R) that is greater than or equal to -3 and less than 7. This means x can take any value starting from -3 up to, but not including, 7.

2. **Determine inclusivity**: The symbol "≤" indicates that -3 is included in the interval (i.e., it is part of the set), while the symbol "<" indicates that 7 is not included in the interval.

3. **Write the interval**: In interval notation, we represent included values with square brackets [ ] and excluded values with parentheses ( ). Therefore, since -3 is included, we use a square bracket, and since 7 is excluded, we use a parenthesis.

4. **Final representation**: The interval can be written as:
\[ [-3, 7) \]

### Summary of Steps:
1. Identify the range of values from the set notation.
2. Determine which endpoints are included or excluded.
3. Write the interval using the appropriate brackets.