Question

The solution to an inequality is given in interval notation as (2, oo). What is another way to represent this solution set?

Answer 1

Assuming the variable is x, we can write
`(2, \infty)` as
`x > 2`

The given interval is from 2 onto infinity, basically describing everything larger than 2. We do not include 2 as part of the interval because of the curved parenthesis. If you had
`[2, \infty)` then you would include 2 and you would say
`x \ge 2`

In set builder notation, we can write
`\{x|x\in \mathbb{R}, \ x > 2\}` which is basically a more long-winded way of saying
`x > 2`. The fancy looking R indicates that x is a real number. So it's saying "we have a set of real numbers such that these numbers are greater than 2".