1. Use deductive reasoning to show that the following procedure produces a number that is equal to the original 1. number. Procedure. Pick a number. Multiply the number by 6, and add 8, divide the sum by 2, subtract twice the original number and subtract 4. (Hint: Let n represent the original number)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 3CE
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sheet of paper for your solutions)
1. Use deductive reasoning to show
that the following procedure produces a
number that is equal to the original
1.
number.
Procedure. Pick a number. Multiply
the number by 6, and add 8, divide
the sum by 2, subtract twice the
original number and subtract 4. (Hint:
Let n represent the original number)
2. Use deductive reasoning to show
that the following procedure produces a
number that is four times to twice
2.
the original number.
Procedure. Pick a number. Multiply
the number by 12, and add 6 to the
product, divide the sum by 3,
subtract twice the original number
and subtract 2. (Hint: Letn represent
the original number)
3. Use deductive reasoning to show
that the following procedure always
produces the number 3.
3.
Procedure. Pick a number. Add 4 to
the number, and multiply the sum by
2, subtract 5 and decrease this
difference by twice the original
number (Hint: Let n represent the
original number and 2n be twice the
Transcribed Image Text:sheet of paper for your solutions) 1. Use deductive reasoning to show that the following procedure produces a number that is equal to the original 1. number. Procedure. Pick a number. Multiply the number by 6, and add 8, divide the sum by 2, subtract twice the original number and subtract 4. (Hint: Let n represent the original number) 2. Use deductive reasoning to show that the following procedure produces a number that is four times to twice 2. the original number. Procedure. Pick a number. Multiply the number by 12, and add 6 to the product, divide the sum by 3, subtract twice the original number and subtract 2. (Hint: Letn represent the original number) 3. Use deductive reasoning to show that the following procedure always produces the number 3. 3. Procedure. Pick a number. Add 4 to the number, and multiply the sum by 2, subtract 5 and decrease this difference by twice the original number (Hint: Let n represent the original number and 2n be twice the
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