Correct Answer - Option 2 : x ≤ y
Calculation:
I: 3x2 – 18x + 15 = 0
⇒ 3x2 – 15x – 3x + 15 = 0
⇒ 3x × (x – 5) – 3 × (x – 5) = 0
⇒ (x – 5) × (3x – 3) = 0
⇒ x = 5, 1
II: 4y2 – 84y + 320 = 0
⇒ 4y2 – 20y – 64y + 320 = 0
⇒ 4y × (y – 5) – 64 × (y – 5) = 0
⇒ (y – 5) × (4y – 64) = 0
⇒ y = 5, 16
Comparison between x and y (via Tabulation):
Value of x
|
relation
|
Value of y
|
5
|
=
|
5
|
5
|
<
|
16
|
1
|
<
|
5
|
1
|
<
|
16
|
∴ From the table, we can say, x ≤ y.