Let's evaluate the statement with numbers.
6 > 5
Adding 2 to both sides:
6 + 2 > 5 + 2
8 > 7
Or, subtracting 3 from both sides:
6 - 3 > 5 - 3
3 > 2
So, as can be seen, if you add or subtract the same value to each side of an inequality, the inequality remains true.
Answer: True.
