Correct Answer - Option 2 : x ≤ y
Calculations:
From I,
x2 = 49
⇒ x = –7, 7
From II,
y2 – 16y + 63 = 0
⇒ y2 – 9y – 7y + 63 = 0
⇒ y(y – 9) – 7(y – 9) = 0
⇒ (y – 9)(y – 7) = 0
Taking,
⇒ y – 9 = 0 or y – 7 = 0
⇒ y = 9 or y = 7
Comparison between x and y (via Tabulation):
X
|
y
|
Relation
|
–7
|
9
|
x < y
|
–7
|
7
|
x < y
|
7
|
9
|
x < y
|
7
|
7
|
x = y
|
∴ x ≤ y.