Use deductive reasoning to show that the following procedure always produces the number 5. Procedure: Pick a number. Add 4 to the number and multiply the sum by 3. Subtract 7 and then decrease this difference by the triple of the original number.
Use deductive reasoning to show that the following procedure always produces the number 5. Procedure: Pick a number. Add 4 to the number and multiply the sum by 3. Subtract 7 and then decrease this difference by the triple of 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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Use deductive reasoning to show that the following procedure always produces the number 5.
Procedure: Pick a number. Add 4 to the number and multiply the sum by 3. Subtract 7 and then decrease this difference by the triple of the original number.
| Pick a number. | n | |||||
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| Add 4 to the number. | n + | |||||
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| Multiply the sum by 3. | 3
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| Subtract 7. | 3n + − 7 = 3n + | |||||
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| Subtract the triple of the original number. | 3n + 5 − n = 5 |
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