Let the universe of discourse be NBA players (active and retired), C(x) mean "x has won an NBA championship", "T(xy) means "x is the same height as or taller than y", and k = Kareem Abdul-Jabbar. Consider the following two statements: Væ[C(x) → -T(x, k)] -3z[T(x, k) A C(x)]. The second statement claims Kareem is the tallest player to win an NBA championship, but the first does not. These equivalent statements both say Kareem is the tallest person to win the NBA championship. These equivalent statements say Kareem is taller than anyone who won the NBA Championship, but they don't say anything about whether Kareem won. The first statement claims Kareem is the tallest to win the NBA championship, but the second does not.

Translate the following statements into idiomatic English where the domain consists of all (romantic) couples of persons, M ( x ) = x is married, and C ( x ) = x has children. Which statements are (in fact) true/false?   ∀x ( M ( x ) → C ( x ) ) ∀x ( C ( x ) → M ( x ) ) ∀x ( M ( x ) ∧ C ( x ) ) ∃x ( M ( x ) ∧ C ( x ) ) ∃x ( ¬M ( x ) ∧ ¬C ( x ) )

help me with the 3 parts please

If an expoential relation such as y=bx, if b > 0 and b ≠ 1, then the y intercept is at zero. Is this true or false?