If a + 1 = b, then b > a.

Question

A. Create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is true. In your final answer, include the values of the variables and proof of truth. B. Is it possible to create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is false? Use complete sentences to explain your answer.

Answer 1

a + 1 = b, b > a

 

Let a = 1

a+ 1 = 1 + 1 = 2 = b

2 > 1

 

Let a = -1

a + 1 = -1 + 1 = 0 = b

0 > -1

 

It is not possible to create a pair of values 

for a, b where this is not true.  Since a + 1 = b,

then b is always one unit to the right of a on a

number line. By basic definition of a number

line, the farther to the right a number is the

greater its value. 

Answer 2

3 + 1 + 4, 4 > 3

No counter example is possbile