Multiple choice

Directions: In the following question, two equations (I) and (II) are given. You have to solve both the equations and give answer. (I) 1 - 6x = 7x2 (II) 14y2 = 51y - 7

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or no relation can be established between 'x' and 'y'

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Rearrange equation one to 7x squared plus 6x minus 1 equals 0, then factor by splitting the middle term to get (7x minus 1)(x plus 1) equals 0, yielding x equals 1/7 or x equals negative 1. Rearrange equation two to 14y squared minus 51y plus 7 equals 0, then factor to get (2y minus 7)(7y minus 1) equals 0, yielding y equals 3.5 or y equals 1/7. Since negative 1 is less than both y values and 1/7 equals the smaller y value, every value of x is less than or equal to every value of y. Therefore, the relationship is x is less than or equal to y.