Discrete math Question.Suppose your friend makes the following English statement "If



Answered question


Discrete math Question.
Suppose your friend makes the following English statement "If XY, but X, then we have Y." Convert it into a statement form. Then show that your friend's statement is valid. Is it true that "XY, but X" is equivalent to Y?

Answer & Explanation



Skilled2021-08-22Added 98 answers

Step 1
The symbol represent the XR operation for the terms in binary operation. Therefore, the expression with XOR can be solved using the truth tables.
Step 2
To convert the English statement to a statement, write it in mathematical form by removing if and then. Also remove all other texts in statements. This will give the statement : XYX=Y.
To check the validity of the statement make a truth table with each entry. The first column will be X then Y followed by the operations.
Step 3
The value of XY is not equivalent to Y. Also the value of XYX,XYORX are not equal to Y. Therefore, the statement is false.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Discrete math

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?