(False Converses) Write down the converse of each conditional statement about the integers. Then give a reason why the converse
is false.
If x is odd and y is odd, then x + y is even.
1 answer:
Answer:
Converse: “If x+y is even, then x is odd and y is odd”
FALSE
Step-by-step explanation:
The converse of
“If x is odd and y is odd, then x+y is even”
is
“If x+y is even, then x is odd and y is odd”
The converse is false.
Counter-example:
Take x = 2, y = 4
Then x+y = 6 which is even, but neither x nor y are odd.
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