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- 6. The first interval is (15-20) & the last interval is (90-95), the coefficient range is .1(b). Is (p->q)->[(p->q)->q] a tautology? Why or why not? (c). Given the relation on the set . What is the minimum number of ordered pairs which when added to make it an equivalence relation?Discuss your reasoning.1. Consider the relation < on the set {1,2, 3, 4}. Write down this relation as a set of ordered pairs in roster form.
- 1. Give the domain of y=in set builder notation. 2. If a and b are real numbers such that aeach part below, indicate (by making suitable arguments) whether the following sets are open (yes/no), closed yes/no), and bounded (yes/no). Hint: You should probably graph the following sets. The straight line connecting the points (a, b) and (c,d) (including the endpoints) in R² where a < b3. Set notation Interval notation ++ -4 -3 -21. Make a table of values for each relation. Graph each pair of relations on the same set of axes. a) y = 3* y = How do graphs of y = 3* and y = ) compare? y = y = 3* -3 -2 -1 1 3 ............-4.............-3..............-2..............-1..............0.............1 ........3...............4..............15. Let C = {(2n + 1)³:n € R } and D = {2n + 1:n € R}. What is the relation between these two sets? State and prove your answer.SolutionRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,