Question 4 - Think and Reflect (Page 7) - Quadrants - Chapter 1 Class 9 - Orienting Yourself: The Use of Coordinates (Ganita

Transcript

Question 4 - Think and Reflect (Page 7) If x ≠ y, then (x, y) ≠ (y, x); and (x, y) = (y, x) if and only if x = y. Is this claim true? Yes, this claim is true This is essentially the formal mathematical rule for exactly what we just discovered in Question 3! Let's translate the math symbols into plain English: x ≠ y means "x is not equal to y". If they are different numbers (like 4 and 7), then the point (4, 7) is NOT the same location as (7, 4). “(x, y) = (y, x) if and only if x = y” means the only way flipping the numbers gives you the exact same dot on the graph is if the numbers were the same to begin with (like 5 and 5, making the point (5, 5)).