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What are 4 integers whose product is less than zero and whose sum is -12?
16
Find two pairs of numbers whose least common multiple is less than the product of the numbers?
4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.
If the largest of three consecutive even integers is multiplied by three the product is 2 less than twice the sum of the first two integers find the integers?
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.
Find 3 consecutive odd integers whose sum is 159?
Divide the sum of the three consecutive odd integers by 3: 159/3 = 53. The smallest of these integers will be two less than 53 and the largest will be two more than 53, so the three consecutive odd integers will be 51, 53, and 55.
What is the set of all ordered pairs?
It is the set of all ordered pairs - nothing less, nothing more.The set may be represented by the coordinates of all points on a plane. But the coordinate plane is not the set.This result is a so-called product set and is called a Cartesian product.
What are 4 integers whose product is less than zero and whose sum is -18?
22
What are 4 integers whose product is less than zero and whose sum is -12?
16
What are two pairs of numbers whose LCM is less than the product of the numbers?
4 and 9 7 and 8
One of two integers is 8 less than the other The product is 84 what are the integers?
14 and 6
Find four consecutive odd integers if the product of the two smaller integers is 112 less than the product of the two large integers?
The numbers are 11, 13, 15 and 17.
What pairs have a LCM that is less than the product?
Pairs with common factors other than 1.
What is the link between the product of any four consecutive positive integers and some square numbers?
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
What is a counterexample to this conjecture the sum of any two integers that are greater then 1 is less then their product?
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.
How many pairs of consecutive integers have a product less than 10000?
n(n+1) <10000 so n is close to square-root of 10000 which is 100. Obviously 100x101 is too much, but 99x100 is OK
Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the larger two integers?
They are 6, 8, 10 and 12.
Find two pairs of numbers whose least common multiple is less than the product of the numbers?
4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.
What is the set of integers whose square is less than 17?
1, 2, 3, 4, and their negatives.
