Multiple choice

In each of the following questions (I) and (II) equations are given. You have to solve them and Give answer- ( (I) ) (6x^2 + 17x + 12 = 0 ) ( (II) ) ( 8y^2 + 10y + 3 = 0 )

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

(I) 6x²+17x+12=0 factors to (2x+3)(3x+4)=0, so x=-3/2 or x=-4/3. (II) 8y²+10y+3=0 factors to (4y+3)(2y+1)=0, so y=-3/4 or y=-1/2. Comparing: x values are -1.5 and -1.33; y values are -0.75 and -0.5. Since -1.5 < -0.75 and -1.33 < -0.5, we have x < y.

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