Question

List all of the the restricted values sqrt 2x - 5?

Answer 1

Assumption: the question is: `sqrt(2x-5)`

`x<5/2`

Written in set notation as `{x: x in (-oo,5/2)}`

In this context the rounded brackets mean 'not including'. I have seen it written as: `{x: x in color(white)(./.) ]color(white)(.)-oo,5/2[color(white)(./.)}`

Explanation:

To force the mathematical formatting you use the hash symbol at the beginning and end of the 'maths bit'.

I wrote the form`" "` hash sqrt(2x - 5) hash`" "` to get `sqrt(2x-5)`

For the numbers to stay a belong to the set of 'Real numbers' you need to make sure that `2x-5 >=0`

`2x-5>=0`

add 5 to both sides

`2x>=5`

divide both sides by 2

`x>=5/2`

So the restricted value are all those that do not comply with `x>=5/2` and these are `x<5/2`