## Discussion Forum

Que. | Let θ(x, y, z) be the statement “x + y = z” and let there be two quantifications given as
(i) ∀x ∀y Z ∃ θ(x, y, z) (ii) ∃Z ∀x ∀y θ(x, y, z) Where x, y, z are real numbers. Then which one of the following is correct ? |

a. | (i) is true and (ii) is true |

b. | (i) is true and (ii) is false |

c. | (i) is false and (ii) is true |

d. | (i) is false and (ii) is false |

Answer:(i) is true and (ii) is false |