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3 years ago

If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?

Mathematics

2 answers:

Ahat [919]3 years ago

8 0

<h2>Answer:</h2>

The inverse of this statement is:

If a number is not divisible by 2, then it is not even.

<h2>Step-by-step explanation:</h2>

We know that for a given conditional statement:

If p then q

i.e. p → q

where p is the hypothesis of the statement and q is the conclusion of the statement.

the inverse of this statement is:

if not p then not q

i.e. ~p → ~ q

We are given statement as:

If a number is divisible by 2, then it is even.

i.e. p=A number if divisible by 2

and q= it is even.

~p= A number is not divisible by 2

and ~ q= number is not even.

Hence, the answer is:

If a number is not divisible by 2, then it is not even.

tia_tia [17]3 years ago

3 0

Since this statement is in the form of an implication (if...then) and the inverse of an implication is ~p->~q then the answer would be:
If a number is not divisible by 2, then the number is not even.

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<h2>Hello!</h2>

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