Question

How do you solve and write the following in interval notation: `1 /x <4`?

Answer 1

`(\frac{1}{4},\infty)`

Explanation:

Solve the inequality
`4x>1`
`x>\frac{1}{4}`

Since the value `x=\frac{1}{4}` is not a solution we use an open bracket. There is no upper limit so we use `infty` as the upper limit to get `(\frac{1}{4},\infty)`.