Use deductive reasoning to show that the following procedure always produces the number 3. Procedure: Pick a number. Add 4 to the number and multiply the sum by 3. Subtract 9 and then decrease this difference by the triple of the original number. Pick a number.          n   Add 4 to the number.         n +   Multiply the sum by 3.          3   n +    = 3n +   Subtract 9.          3n + − 9 = 3n +   Subtract the triple of the original number.           3n + 3 − n = 3

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
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Use deductive reasoning to show that the following procedure always produces the number 3.

Procedure: Pick a number. Add 4 to the number and multiply the sum by 3. Subtract 9 and then decrease this difference by the triple of the original number.
Pick a number.          n
 
Add 4 to the number.         n +
 
Multiply the sum by 3.          3
 
n +
 
 = 3n +
 
Subtract 9.          3n + − 9 = 3n +
 
Subtract the triple of the original number.           3n + 3 − n = 3
 
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