At 298 K, the equilibrium constant for the reaction
N₂O₄(g) ⇌ 2 NO₂(g) is K=4.6×10−3. The reaction is rewritten as
2 NO₂(g) ⇌ N₂O₄(g).
Determine whether the equilibrium constant for the rewritten reaction will be greater than 1, equal to 1, or less than 1, and justify your answer in one sentence.