Question

How do you solve and write the following in interval notation: `x - 2 ≤ 0` or `x - 1 ≥ 3`?

Answer 1

Solution : (1) `x <= 2 or (-oo,2]`, (2) `x >= 4 or [4, oo)`

Explanation:

`x -2 <= 0 or x <= 2` , In interval notation `x` is expressed as

`(-oo,2]`, means `x` is any quantity from `-oo` to `2`(inclusive).

`x -1 >= 3 or x >= 4` , In interval notation `x` is expressed as

`[4, oo)`, means `x` is any quantity from `4`(inclusive) to `oo`.

Solution : (1) `x <= 2 or (-oo,2]`, (2) `x >= 4 or [4, oo)` [Ans]