Passage

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Directions: Solve the following quadratic equations and mark the answer as per these codes: I. 7x² + 12x - 4 = 0 II. 7y² - 23y + 6 = 0

Applying the factorization method to the first equation, seven x squared plus twelve x minus four equals zero gives factors of fourteen and negative two for x, resulting in x values of two sevenths and negative two. The second equation seven y squared minus twenty three y plus six equals zero gives factors of twenty one and negative two for y, resulting in y values of three and two sevenths. Since the maximum value of x equals the minimum value of y, and the other x value is smaller, x is less than or equal to y.

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