1). x < y2). x > y3). x = y OR the relationship cannot be determined4)

1.	1). x < y2). x > y3). x = y OR the relationship cannot be determined4). x ≥ y
Answer» I. x² – 5X – 24 = 0 ⇒ x² – 8x + 3x – 24 = 0 ⇒ x(x – 8) + 3(x – 8) = 0 ⇒ (x – 8)(x + 3) = 0 Then, x = + 8 or x = - 3 II. y² – 8y – 33 = 0 ⇒ y² – 11y + 3y – 33 = 0 ⇒ y(y – 11) + 3(y – 11) = 0 ⇒ (y – 11)(y + 3) = 0 Then, y = + 11 or y = - 3 So, when x = + 8, x < y for y = + 11 and x > y for y = - 3 And when x = - 3, x < y for y = + 11 and x = y for y = - 3 ∴ So, we can observe that no clear RELATIONSHIP cannot be determined between x and y.

1). x < y2). x > y3). x = y OR the relationship cannot be determined4). x ≥ y

Answer»

I. x² – 5X – 24 = 0

⇒ x² – 8x + 3x – 24 = 0

⇒ x(x – 8) + 3(x – 8) = 0

⇒ (x – 8)(x + 3) = 0

Then, x = + 8 or x = - 3

II. y² – 8y – 33 = 0

⇒ y² – 11y + 3y – 33 = 0

⇒ y(y – 11) + 3(y – 11) = 0

⇒ (y – 11)(y + 3) = 0

Then, y = + 11 or y = - 3

So, when x = + 8, x < y for y = + 11 and x > y for y = - 3

And when x = - 3, x < y for y = + 11 and x = y for y = - 3

∴ So, we can observe that no clear RELATIONSHIP cannot be determined between x and y.