Question

Write the interval in interval notation

4 < x < 10

Answer 1

Answer: (4, 10)

Step-by-step explanation:

We have an interval spanning from 4 to 10, excluding both endpoints. We write the endpoints separated by a comma. Then we surround those items with a pair of curved parenthesis.

If we wrote [4, 10], then that describes
`4 \le \text{x} \le 10`. In other words, the square bracket includes the endpoints. So that's why we go for curved parenthesis instead.

Be careful not to mix up the interval notation (4,10) with ordered pair notation which unfortunately looks identical. Math has the tendency to re-use notation which may seem confusing. Context is important.