# Question: discrete mathematics determine whether the statement is true or false...

###### Question details

discrete mathematics

Determine whether the statement is true or false. Any product of four consecutive integers is one less than a perfect square. Justify your answer with a proof or a counterexample, as appropriate. Use only the definitions of the terms and laws of algebra to justify the statements in your proof.

Note: Two integers are consecutive if, and only if, one is one more than the other. š, š šššš ššš¢š”šš£š ā (š + 1 = š) āØ (š + 1 = š) Note: An integer š is a perfect square if and only if it equals the square of an integer. š ā š šš š ššššššš” š šš¢ššš ā āš ā š | š = š^2