Multiple choice

In each of the following questions, two equations (I) and (II) are given. You have to solve them and give answer. $(I) ( (8x^2 + 21) – (6x^2 + 23) = 0 ) (II) ( (7y^2 – 14) – (10y^2 – 17) = 0 )$

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Simplifying equation (I): (8x²+21)-(6x²+23)=2x²-2=0 gives x²=1, so x=±1. Simplifying equation (II): (7y²-14)-(10y²-17)=-3y²+3=0 gives y²=1, so y=±1. Possible comparisons: when both are positive, x=y=1; when x=1,y=-1, x>y; when x=-1,y=1, x

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