In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x^{2} - 8x + 7 = 0

II. y^{2} - 1 = 0

Option 3 : x ≥ y

Given:

I. x 2 - 8x + 7 = 0

II. y2 - 1 = 0

Calculation:

From I,

x2 - 8x + 7 = 0

⇒ x2 - 7x - x + 7 = 0

⇒ x(x - 7) - 1(x - 7) = 0

⇒ (x - 7)(x - 1) = 0

Taking,

⇒ (x - 7) = 0 or (x - 1) = 0

⇒ x = 7 or 1

From II,

y2 - 1 = 0

⇒ y2 = 1

⇒ y = ±√1

⇒ y = ±1

⇒ y = 1 or -1

Comparison between x and y (via Tabulation):

∴ x ≥ y.