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

1 Answer
Apr 2, 2017

Answer:

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#