Express the following quantified statements in symbols. (a) For every integer a, there

Step 1 of 2

The domain for the quantified statement is the set of integers denoted by . The phrases “For every” and “There exists” can be represented by the Universal quantifier and existential quantifier respectively.

(a)

Consider the statement, “For every integer, there exists an integer  such that”, the variables are andbelong to integers domain. So we can write the statement as follows:

        For every integer-  

        There exists an integer  -  

So the complete statement can be written as :