I. x² - 15x + 56 = 0 II. y = ∛512 Find relation between x and y.

x > y
x < y
y ≥ x
x ≥ y

Correct answer: y ≥ x

Solution

x² - 15x + 56 = 0: factors are (x-7)(x-8) = 0, so x = 7 or x = 8. y = ∛512 = 8. When x=7: y(8) > x(7). When x=8: y(8) = x(8). Combined: y ≥ x (y is always ≥ x).

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