x2 - 32 = 112; y - √169 = 0

Direction: In each of the following question, there are two equations. you have to solve both equations and give answer.

1. If x > y
2. If x ≥ y
3. If x < y
4. If x ≤ y
5. If x = y or relation cannot be established

x² - 32 = 112
⇒ x² = 112 + 32 ⇒ x² = 144
∴ x = ± 12
and y - √169 = 0
⇒ y = √169
⇒ y = ± 13
∴ Relation cannot be established.