Solve the pair of equations and state how $x$ and $y$ compare. I. $x^{2} - 10 x + 21 = 0$
II. $y^{2} - 16 y + 63 = 0$

Question

Solve the pair of equations and state how x and y compare. I. x² − 10x + 21 = 0 II. y² − 16y + 63 = 0

Accepted Answer

x ≤ y. I: (x − 3)(x − 7) = 0, so x = 3 or 7. II: (y − 7)(y − 9) = 0, so y = 7 or 9. Every x is less than or equal to every y (7 = 7), so x ≤ y.

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