Whether the given conjecture is true. If not, then give a counterexample.
Answer to Problem 17GP
Explanation of Solution
Given information:
All multiples of 3 are odd.
Concept Used:
Commutative property:
Associative property:
Distributive property:
Additive identity:
Multiplicative identity:
Zero property of Multiplication:
Calculation:
The given conjecture is not correct because all the multiples of 3 are not odd. Only the odd multiples of 3 are odd, while the even multiples of 3 are all even.
For example, the second multiple of 3 is 6, which is even. Similarly, the fourth multiple of 3 is 12, which is even as well. Similarly, all the even multiples of 3 are even numbers as well.
Thus, the conjecture that the all multiples of 3 are oddis not true.
Chapter 1 Solutions
Glencoe Math Accelerated, Student Edition
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