## MTH001 Assignment 1 Spring 2021 – Assignments – Solution VU

**MTH001: Elementary Mathematics**

** **Assignment # 01

Answer 1:

** Solution: **

A = 2,4 B = 1,4,5

R1 = a > b

R2 = (a, b) ∈ (A X B)

A X B = (2,1), (2,4), (2,5), (4,1), (4,4) (4,5)

R1= (2,1), (4,1), (4,4)

R2= (4,4)

Domain of R1= (2,4)

Domain of R2= (4)

Range = (1,4) Answer.

**Answer 2:**

** Solution:**

~(p⟶~q) ⟶~p≡~ (q ∧ p)

P | q
| ~p | ~q | p⟶~q | ~(p⟶~q) | ~(p⟶~q) ~p |

T | T | F | F | F | T | F |

T | F | F | T | T | F | T |

F | T | T | F | F | T | T |

F | F | T | T | T | F | T |

This Statement is not a “Tautology”

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