Q.1 Prove the following properties by using whole numbers and check if they are correct 1. x- y= y+y
Answers
Given : x- y= y+y
To Find : using whole numbers check if they are correct or not
Solution:
x- y= y + y
=> x = 3y
This property will hold true if x = 3y
Let say y = 1 , x = 3
then x - y = 3 - 1 = 2
y + y = 1 + 1 = 2
2 = 2
But this will not hold true in all other case
y = 1 x = 2
=> x - y = 2 - 1 = 1
& y + y = 1 + 1 = 2
1 ≠2
x = 7 , y = 5
=> x - y = 7 - 5 = 2
y + y = 5 + 5 = 10
2 ≠ 10
x- y= y+y is not True for all whole numbers except when x = 3y
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Answer:
prove the following properties by using whole numbers and check if they are