Question

Consider the following conditional statement. If a + 1 = b, then b > a. 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. PLEASE EXPLAIN MORE DETAILED!

Answer 1

If a=1 and b=2 , then 1+1=2 and 2>1. No it isnt possible to make the statement false because no matter what b will always be 1 greater than a

Answer 2

Step-by-step explanation:

A).

Given condition : a + 1 = b ;    b > a

Let us consider values for the variables a and b as 1 and 2 respectively.

Thus, a = 1

         b = 2

∴ a + 1 = b

   1 + 1  = 2

     2   =   2

∴ LHS = RHS and also b > a

Hence proved

B). No it is not possible to create a pair of values for a and b for which the given condition will be false because assigning one value for a variable will automatically determine the other value of the variable for the given condition. It will not satisfy the given condition.