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.

Question
Irrational numbers
asked 2021-02-13
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.

Answers (1)

2021-02-14
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.
0

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