true or false the product of two integers is always greater than the sum of two integer
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false
product of two positive numbers more than 1 will always be greater than or equal to the sum of those two numbers
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The Statement Is False.
The product of two integers is always greater than the sum of two integers only when both integers are positive.
- The product of a negative integer and a positive integer is always a negative integer and the sum of a negative and a positive integer are subtracted. For example product of -5 and 6 is -5 × 6 = -30 and the sum of -5 and 6 is -5 + 6 = 1, where 1 is greater than -30.
- The product of zero and any integer is 0 so the sum of the zero and any integer will be more than the product of zero and any integer. For example product of 0 and 9 is 0 × 9 = 0 and the sum is 0 + 9 = 9, where 9 is greater than 0.
- The product of 1 and any integer will be lesser than the sum of 1 and any integer. For Example product of 1 and 5 is 1 × 5 = 5 and the sum is 1 + 5 = 6, where 6 is greater than 5.
Therefore, The product of two integers is not always greater than the sum of two integers.
Hence, The Statement Is False.
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