y is 2 less than the product of 3 and x
nine less than the product of a number and two
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.
6
That would be equal to the sum of all natural numbers less than or equal to 100 minus the sum of all natural numbers less than or equal to 89. The sum of all natural numbers less than or equal to x can be calculated with this equation: x ∑n = n(n + 1) / 2 n=1 We can take the numbers given above then, and plug them into that sum, giving us the equation: x = 100(100 + 1)/2 - 89(89 + 1) / 2 x = 5050 - 4005 x = 1045
5
81
If the sum of the numerators is greater than the denominator the sum is greater than 1. If the sum of the numerators is equal to the denominator the sum is equal to 1. If the sum of the numerators is less than the denominator the sum is less 1.
If x + 4 is less than or equal to 22, that means that x is less than or equal to 18
nine less than the product of a number and two
33
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.
6
2x + 1 is equal to or less than 13.
That would be equal to the sum of all natural numbers less than or equal to 100 minus the sum of all natural numbers less than or equal to 89. The sum of all natural numbers less than or equal to x can be calculated with this equation: x ∑n = n(n + 1) / 2 n=1 We can take the numbers given above then, and plug them into that sum, giving us the equation: x = 100(100 + 1)/2 - 89(89 + 1) / 2 x = 5050 - 4005 x = 1045
5
6(6x-3) <= -2(8x+4) The <= is actually written as < with a line under it.
never less than n