Question

How do you solve and write the following in interval notation: `4 <= x <10`?

Answer 1

interval notation: `[4, 10)`

Explanation:

Given: `4 <= x < 10`

When you solve an equation, you find the input (usually `x`) values. You were already given the `x` values, so there is no solving involved.

In interval notation a bracket is used when you have `<=`. It infers that the value is included.

In interval notation a parenthesis is used when you have `< " or " >`. It infers that the value is not included.

`4 <= x < 10` in interval notation is `[4, 10)`

If you were asked to sketch the result or solution. You would draw a line from `4` to `10`. You would have a bracket or closed hole at `4` and a parenthesis or open hole at `10`: