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 n

Question

3 years ago

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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 n

umerical 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!

Mathematics

2 answers:

Angelina_Jolie [31] · Answer 1 · 2022-05-21T15:38:46+03:00

Angelina_Jolie [31]3 years ago

7 0

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

mestny [16] · Answer 2 · 2022-05-21T17:13:46+03:00

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.