Multiple choice

In the following question, there are two equations. Solve the equations and answer accordingly. I. (3x^2 + 18x + 24 = 0) II. (2y^2 - 11y + 15 = 0)

  1. X > Y

  2. X < Y

  3. X ≥ Y

  4. X ≤ Y

  5. X=Y or No relation can be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From equation I: 3x² + 18x + 24 = 0. Divide by 3: x² + 6x + 8 = 0. Factor: (x + 2)(x + 4) = 0, so x = -2 or x = -4. From equation II: 2y² - 11y + 15 = 0 factors to (2y - 5)(y - 3) = 0, so y = 5/2 or y = 3. Comparing all combinations: x = -2, y = 5/2 gives x < y. x = -2, y = 3 gives x < y. x = -4, y = 5/2 gives x < y. x = -4, y = 3 gives x < y. In all cases, X < Y, so answer B is correct.

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