Multiple choice

In each of the following questions (I) and (II) equations are given. You have to solve them and Give answer- (I) (5x^{2} - 44x + 63 = 0) (II) (15y^{2} - 37y + 18 = 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
B Correct answer
Explanation

Solving 5x²-44x+63=0: factors as (5x-9)(x-7)=0, giving x=9/5=1.8 or x=7. Solving 15y²-37y+18=0: factors as (3y-2)(5y-9)=0, giving y=2/3≈0.67 or y=9/5=1.8. The possible x values are 1.8 and 7. The possible y values are 0.67 and 1.8. Comparing: minimum x=1.8 and maximum y=1.8. For all x values (1.8 or 7) and y values (0.67 or 1.8), x is always greater than or equal to y. Since x=y is possible (both can be 1.8), x≥y is correct.

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