Consider the statement All integers are rational numbers but

Consider the statement \"All integers are rational numbers but not all rational numbers are integers. a. Write the statement in a universal conditional form (, if, the)

Solution

Consider the statement \" All integers are rational numbers but not all rational numbers are integers.

let us denote

R(x): “x is a rational number”

          I(x): “x is an integer”

Then the given statement can be written in a universal conditional form as follows :

\" ( x ) ( I(x) R(x) ) ¬ ( x ) ( R(x)   I(x) )