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Answer:

A number x is greater than 5 or less than 10

The Disjunction which is always true  for  any real number x is

x>0 or x≤0  .

What is disjunction?

The connective used for two simple statements to form a compound statement which is disjunction is 'OR'. In a disjunction statement, any one of the statements must be true for the disjunction statement to be true.

What are real numbers?

Any number that can be found in the real world is a real number. We find numbers everywhere around us. Natural numbers are used for counting objects, rational numbers are used for representing fractions, irrational numbers are used for calculating the square root of a number, integers for measuring temperature, and so on.

According to the question

Disjunction is statement connected by "or" .

and Real number are number which contain all the numbers rational + irrational .

Now,

x>0 which include all the numbers greater than 0 .

x≤0  which includes all the number less than or equal to 0 .

Therefore ,

Disjunction which is always true  for  any real number x is:

x>0 or x≤0

As it will cover every point on number line  .

Hence, The Disjunction which is always true  for  any real number x is

x>0 or x≤0  .

To know more about Disjunction here:

https://brainly.com/question/15709294

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