# Algebra

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A positive integer minus a positive integer is always positive.
This statement is sometimes true. For example, 17 – 5 = 12, but 15 – 20 = –5.

post five other statements about the addition and subtraction of positive and negative integers, and ask whether each is always true, sometimes true, or never true.

• Algebra -

If only two numbers are involved,
Let A and B be real, non-zero numbers.

1) (+)A + (+)B = (+) ?
This is always true.

2) (-)A + (-)B = (-) ?
This is always true.

3) (+)A - (-)B = (+) ?
This is always true.

4) (-)A - (+)B = (-) ?
This is always true.

5) (-)A - (-)B = (+) ?
This is not always true. For instance,
-5 - (-3) = -2, but -3 - (-5) = +2.

Hope this helps~ :3

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