Use inductive reasoning to decide if each statement is true or false. a. The sum of two odd counting numbers is always an odd counting number. b. Pick any counting number. Multiply the number by 8. Subtract 4 from the product. Divide the difference by 2. Add 2 to the quotient. The resulting number is four times the original number. c. The sum of any two even counting numbers is always an even counting number.
Use inductive reasoning to decide if each statement is true or false. a. The sum of two odd counting numbers is always an odd counting number. b. Pick any counting number. Multiply the number by 8. Subtract 4 from the product. Divide the difference by 2. Add 2 to the quotient. The resulting number is four times the original number. c. The sum of any two even counting numbers is always an even counting number.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter2: Linear Equations
Section2.4: Solving Equations With The Variable On Each Side
Problem 53PFA
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Question
2. Use inductive reasoning to decide if each statement is true or false.
a. The sum of two odd counting numbers is always an odd counting
number.
b. Pick any counting number. Multiply the number by 8. Subtract 4
from the product. Divide the difference by 2. Add 2 to the quotient.
The resulting number is four times the original number.
c. The sum of any two even counting numbers is always an even
counting number.
d. The product of an odd counting number and an even counting
number is always an even counting number.
e. The product of two odd counting numbers is always an odd counting
number
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