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Q1 Show that by using Laws that if the compound statement is logically equal. [p ⋀ (~ (~p⋁q))] ⋁ (p⋀q)≡p

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 23E: Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove...

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Question

Q1 Show that by using Laws that if the compound statement is logically equal. [p ⋀ (~ (~p⋁q))] ⋁ (p⋀q)≡p.

Q2 A function g: Z → Z is defined by the rule g(m,n)=m+n

Determine whether it is onto or not.

Q3 Let X= {p, q, r, s, t}, Y= {1, 23} and Z={k, e} Define one-to-one function and how many one-to-one function are there from Y to X. Define onto function and how many onto function are there from Y toZ.

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