Class 9 Exam > Class 9 Questions > If x = y then (x, y) = (y, x)a)The above stat...
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If x = y then (x, y) = (y, x)
- a)The above statement is TRUE
- b)The above statement is TRUE if x < y
- c)The above statement is FALSE
- d)The above statement is TRUE if x ≠ y
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If x = y then (x, y) = (y, x)a)The above statement is TRUEb)The above ...
Explanation:
The statement "If x = y then (x, y) = (y, x)" is a mathematical statement that involves the relationship between two variables, x and y. Let's break down the statement and see why option A is the correct answer.
If x = y:
If x and y are equal, then we can substitute y for x or x for y in any equation involving x and y.
(x, y) = (y, x):
This statement means that the ordered pair (x, y) is equal to the ordered pair (y, x). In other words, the order of the values in the ordered pair does not matter.
Therefore, if x = y, then (x, y) = (y, x). This is because the values in the ordered pair are the same, regardless of which value is listed first.
For example, if x = 3 and y = 3, then (x, y) = (3, 3) and (y, x) = (3, 3). Both ordered pairs are equal, so the statement is true.
Conclusion:
Therefore, option A is the correct answer because the statement "If x = y then (x, y) = (y, x)" is true regardless of the values of x and y as long as x and y are equal.
The statement "If x = y then (x, y) = (y, x)" is a mathematical statement that involves the relationship between two variables, x and y. Let's break down the statement and see why option A is the correct answer.
If x = y:
If x and y are equal, then we can substitute y for x or x for y in any equation involving x and y.
(x, y) = (y, x):
This statement means that the ordered pair (x, y) is equal to the ordered pair (y, x). In other words, the order of the values in the ordered pair does not matter.
Therefore, if x = y, then (x, y) = (y, x). This is because the values in the ordered pair are the same, regardless of which value is listed first.
For example, if x = 3 and y = 3, then (x, y) = (3, 3) and (y, x) = (3, 3). Both ordered pairs are equal, so the statement is true.
Conclusion:
Therefore, option A is the correct answer because the statement "If x = y then (x, y) = (y, x)" is true regardless of the values of x and y as long as x and y are equal.
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If x = y then (x, y) = (y, x)a)The above statement is TRUEb)The above ...
Yes it is true.......and if I say u to hold your ear from right and u hold it from left. ..then what's the difference....
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