Two integers that have a sum of -7 and a product of 12 are -3 and -4.
12 and -2
12
A counterexample to the conjecture that the sum of any two integers greater than 1 is less than their product is the pair (2, 2). The sum of these integers is 2 + 2 = 4, while their product is 2 × 2 = 4. Here, the sum equals the product, demonstrating that the conjecture does not hold for all integers greater than 1.
11 & 14
The integers are -7 and -5.
The integers 2 and 10 have a product of 20 and a sum of 12.
12 and -2
Factor 12 = 2x2x3 There's no combination for -12 as a product and -3 as a sum at the same time.
-3 and -4
12
The product of the two integers is -80.
A counterexample to the conjecture that the sum of any two integers greater than 1 is less than their product is the pair (2, 2). The sum of these integers is 2 + 2 = 4, while their product is 2 × 2 = 4. Here, the sum equals the product, demonstrating that the conjecture does not hold for all integers greater than 1.
The answer would be 10 12 and 14... 14 x 3 = 42 and 2(10 + 12) = 44. So the product of the largest integer and three is two less than twice the sum of the lower integers.
11 & 14
The integers are -7 and -5.
The number 12 can be represented in various ways, including as a sum of integers, a product of integers, or in different numeral systems. For example, as a sum, it can be expressed as 12 = 10 + 2, 12 = 9 + 3, or 12 = 6 + 6. Additionally, it can be factored as a product, such as 12 = 3 × 4 or 12 = 2 × 6. The total number of representations depends on the context and constraints applied (like using distinct integers or limiting the number of terms).
1 2 and 3