Please find all three falses Of the statements below, three are false and one is true. Find two of the false statements and givecounterexamples to them. (You don't have to do the calculations for a counterexample if you can explainwhy it's going to work.find all three false statements.I. For all n € N, if you multiply n by 3 and add the digit 7 to the end (e.g. 5 becomes 15, whichbecomes 157), the final result will be prime.II. For all n € N, 3" +2 is never divisible by 7.III. If a, b, c are real numbers such that a+b, a+c, and b+c are all rational, then a+b+c is rational.IV. For all n EN, n.2" >n!.

We will find counterexamples for the statements which are false.

Of the statements below, three are false and one is true. Find two of the false statements and give counterexamples to them. (You don't have to do the calculations for a counterexample if you can explain why it's going to work. find all three false statements. I. For all n E N, if you multiply n by 3 and add the digit 7 to the end (e.g. 5 becomes 15, which becomes 157), the final result will be prime. II. For all n € N, 3" +2 is never divisible by 7. III. If a, b, c are real numbers such that a+b, a+c, and b+c are all rational, then a+b+c is rational. IV. For all n € N, n. 2" >n!.

Of the statements below, three are false and one is true. Find two of the false statements and give counterexamples to them. (You don't have to do the calculations for a counterexample if you can explain why it's going to work. find all three false statements. I. For all n E N, if you multiply n by 3 and add the digit 7 to the end (e.g. 5 becomes 15, which becomes 157), the final result will be prime. II. For all n € N, 3" +2 is never divisible by 7. III. If a, b, c are real numbers such that a+b, a+c, and b+c are all rational, then a+b+c is rational. IV. For all n € N, n. 2" >n!.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 38E

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