Consider the set D 12 3 0 4 5 8 16 20 Determine if each of

Consider the set D = {12, 3, 0, 4, 5, 8, 16, 20}. Determine if each of the statements below is true or false. If it is false, find a counterexample of the statement. Recall that a number is even if it is a multiple of two.

a. x D [x > 5 x is even].

b. x D [x > 20 x < 19]

Solution

a) true as 8,16,20 all are even

b) False as 20 is also in the set while 20 > 19 so statement is false