Multiple choice

$( \text{In each of the following questions two equations (I) and (II) are given. Solve these equations and give the answer:} )$ $( \text{(I).} x^2 - 324 = 0 \ \text{(II).} y = \sqrt{324} )$

  1. If x < y

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or no relationship can be established between x and y.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation (I): x² = 324 gives x = ±18 (positive and negative roots). Equation (II): y = √324 = 18 (principal square root is positive). When x = 18, x = y. When x = -18, x < y. In both cases, x ≤ y is true. Option D correctly captures this relationship.