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

May 24, 2017

interval notation: $\left[4 , 10\right)$

#### Explanation:

Given: $4 \le x < 10$

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 $\le$. It infers that the value is included.

In interval notation a parenthesis is used when you have $< \text{ or } >$. It infers that the value is not included.

$4 \le x < 10$ in interval notation is $\left[4 , 10\right)$

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 $10$: