Call the numbers "a" and "b":
a + b > a - b
b > -b
2b > 0
b > 0
In other words, when the second number is greater than zero.
That's because the integers may be negative. For example, the sum of (-6) and (-6) is (-12), which is less than their difference (0).
No, the sum of two integers is not equal to the difference of the same two integers, except in specific cases. For two integers ( a ) and ( b ), the sum is ( a + b ) and the difference is ( a - b ). These two expressions can only be equal if one of the integers is zero or if they are equal (i.e., ( a = b )). In general, the sum will be greater than or less than the difference, depending on the values of ( a ) and ( b ).
No. Consider 0 and 1. Or negative numbers, whose sum produces a smaller number.
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.
9 and 11.
That's because the integers may be negative. For example, the sum of (-6) and (-6) is (-12), which is less than their difference (0).
No, the sum of two integers is not equal to the difference of the same two integers, except in specific cases. For two integers ( a ) and ( b ), the sum is ( a + b ) and the difference is ( a - b ). These two expressions can only be equal if one of the integers is zero or if they are equal (i.e., ( a = b )). In general, the sum will be greater than or less than the difference, depending on the values of ( a ) and ( b ).
When the integers are negative.
No. Consider 0 and 1. Or negative numbers, whose sum produces a smaller number.
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.
It is 0.
greater
9 and 11.
For a pair of integers (a) and (b), if their sum (a + b) is smaller than one of the integers (let's say (a)), it implies that (b) must be negative. Specifically, if (a + b < a), then (b) must be less than 0. For example, if (a = 5) and (b = -3), their sum (5 - 3 = 2), which is smaller than (5) but greater than (-3).
To find the sum of integers, you use addition.To find the difference, you use subtraction.
Seven of them.
The integers are -7 and -5.