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Evgen [1.6K]
3 years ago
12

If a and b are odd integers, then a – b is an even integer.

Mathematics
2 answers:
Readme [11.4K]3 years ago
6 0
So the answer choices are
1. a-b=even
2. a and b are not odd
3. a and b are odd
4. a-b=even
5. a-b=not even

even=not odd
not even=odd so choice 5 is really a-b=odd
basically choice 4 and 1 are the same so we cross one out
so
the problem said that a and b are odd so therefor choice2 is wrong and choice 3 is correct

then both are odd
odd-odd=even because
an even number is represented as 2n where n is an integer
an odd number can be represented as 2n+1 so assume you have 2 odd numbers 2 away from each other so odd and (odd+2)
odd+2-odd=2n+1+2-(2n+1)=2n+1+2-2n-1=2n-2n+1-1+2=2
you are left with odd
using integers
7 and 11
11-7=4
even

so odd-odd=even, it depends on weather you consider 0 odd or even


so the asnwers are:
a and b are odd
a-b is not an even integer
enot [183]3 years ago
4 0

Answer:

a and b are not odd integers

a – b is not an even integer

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Answer:

Part A: 4,300 ≥ 2500 + 0.12s

Part B: Less than or equal to $15,000

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Step-by-step explanation:

For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).

For Part B:

Using the inequality, solve for s

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Now divide both sides by 0.12 to isolate s

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