(3) 5. Write a direct proof to show that if m is an even integer then Sm+ 3 is an odd integer. (3)6. Write an indirect proof to show if 3m +1 is an odd integer then m is an even integer

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

A:

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: -2{-12/-3+2[2²-12-√100]-(3²)}

A: We want to solve the given basic mathematical operation problem.

Q: Find each (n+3)(n+2) (4n 5)(3n + 2) (n+7)(n + 5)

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: The positive integer 2011 2012 2013 . . . 2022 2023 has 52 digits. Without changing the order of any…

A:

Q: Which of the following is equivalent to 3x²(-2x)e-x² + e-x²16x O -16xe-x²(x² - 1) O 16xe-x²(x² + 1)…

A: Given query is to simplify the expression.

Q: Find a counterexample to show that each of the statements is false.

A:

Q: Select two expressions equivalent to 15a² – 5a - 11 (Select all that apply.) (14a² − 9a +1)+(a² + 4a…

A: Given; 15a2-5a-11.

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: Prove that a three-digit number is a multiple of 9 whenever the sum of the digits is a multiple of…

A:

Q: 6. Simplify these algebraic expressions. a) 2m + 12n - 3m - Op+ 10p +m – n- 12p b) 5r+ 13t +…

A:

Q: 1. Can you reduce this expression?  (x2 + 3x)/ (2x - 1) 2. Aren't there math symbols available on…

A:

Q: Prove that 3x3+ 5x - 11 has a root between x=1 and x=2. Thanks!

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.