Question

(1 point) [4 Marks] Consider the following statements Q : There exists a real number n such that n? > 100 implies n < 10 and n > 0 R: If Tom is Ann's father then Jim is her uncle or Sue is her aunt or Mary is her cousin In English, what are the negations, converses, and contrapositives of Q and R? You do not need to justify the correctness of the statements. A. I am finished this question

Answer 1

not her cousin then Tom S: There exist a real number in such that n2> 100 => nsio, no Negation of the above statement : real number n with 527100 every does not imply n&io, ayo For converse of statement : ocns 10 There exist real number sit n2> 100 contrapositive of statenent 0:- There exist real number one 100 sit either nco os n710 Ri of Tom is Ann's father then Jim is her uncle or Sue is her aunt or Mary is her cousin. Negation of statement Rin This is not the case that of Tom is Ann's father then Tim is her undle on Sue is her aunt os Mary is her cousin. Converse of Satatenent R of Jim is Ann's uncle or Sue is her aunt or Mary is her cousin then Tom is her father. Contrapositive of Statement Ri of Tim is no not Ann's uncle and Sue is not her aunt and Mary is is not her father