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Answer the following.
Explain why x + 4y = 12, x, y ∈ mathbbN is NOT a symmetric relation.
Explain why $x + 4y = 12$, $x, y \in \mathbb{N}$ is NOT a symmetric relation.
Answer
Answer
Official answer key$x + 4y = 12;\ x, y \in N$
The co-ordinate $(4, 2)$ satisfies the equation, $x + 4y = 12$. But the co-ordinates $(2, 4)$ do not satisfy the equation $x + 4y = 12$.
Hence, not a symmetric relation.