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

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

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Answer 1 · 2017-04-02T16:29:31

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 $x<5/2$

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

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