Determine whether the below given statement is true or false. If the statement is false, make the necessary changes to produce a true statement:
All irrational numbers satisfy |x - 4| > 0.
Carol Gates 2021-02-13Answered
Determine whether the below given statement is true or false. If the statement is false, make the necessary changes to produce a true statement:
All irrational numbers satisfy |x - 4| > 0.
If it equals 0 then:
|x-4|=0
Or, x-4=0
Or, x=4
Note that 4 is a rational number. So, for other values of x (except 4) |x-4| will be greater than 0. So, All irrational numbers satisfy |x - 4| > 0. This statement is true.