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(Solved): The complete addition table is symmetric and every row/column will contain \( O, P, Q, R \). 1. Pr ...
The complete addition table is symmetric and every row/column will contain \( O, P, Q, R \). 1. Prove the following: (a) If \( P+P=Q \), then \( Q+Q=O \) and \( R+R=Q \). (b) If \( P+P=R \), then \( Q+Q=R \) and \( R+R=O \). (c) If \( P+P \neq O \), then \( Q+Q=O \) or \( R+R=O \).
Expert Answer
We can consider the addition table as a table with four rows and four coloumn table .In this the first row and first coloumn assigned values.Therefore