Take any two integers, and subtract one from another, you will have another integer.
If there was a situation where you could show that this statement is not true, then that would prove your hypothesis, but I cannot think of any.
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BODMAS would say that addition is before subtraction. There is a main code "DMAS", which prove that: D:Divide M:Multiplication A:Addition S:Subtraction It proves that Addition is before Subtraction. HOPE U LIKE THAT:)
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Mathematical induction is just a way of proving a statement to be true for all positive integers: prove the statement to be true about 1; then assume it to be true for a generic integer x, and prove it to be true for x + 1; it therefore must be true for all positive integers.
No, they are not. 1/2 is a ratio of two integers and so it is rational. But it is not a whole number.
Typically, inductive reasoning is a tool which is used to prove a statement for all integers, n. If you can show that a statement istrue for n = 1.if it is true for some value n = k you prove that it must be true for n=k+1, thenby the induction, you have proved that it is true for all values of n.