Any equation or inequality with variables in it is a predicate in the domain of real numbers. for the following statement, tell whether the statement is true or false. (∀x)(x4> x)

Answer with explanation:

The statement is given by:

∀ x ,  

This statement is false

Since, if we consider,

then we have:

Also, we know that:

( Since, two number with same numerator; the number with greater denominator is smaller than the number with the smaller denominator )

Hence, we get:

when

Hence, the result :

is not true for all x belonging to real numbers.

Hence, the given statement is a FALSE statement.

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