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)

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.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: