SOLUTION: 1. the product of an integer and 5 is greater than -32. find the least integer that makes this true. 2. the quotient of an integer and -3 is less than -18. find the least intege

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Question 1159178: 1. the product of an integer and 5 is greater than -32. find the least integer that makes this true.
2. the quotient of an integer and -3 is less than -18. find the least integer that makes this true.
3. explain how the lcm of a set of numbers can be equal to the greatest number in the set.

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
1. the product of an integer and 5 is greater than -32. find the least integer that makes this true.
5n > -32 n > -32/5 n > -6.4 Since n is an integer, the least one greater than -6.4 is -6
2. the quotient of an integer and -3 is less than -18. find the least integer that makes this true.
n/(-3) < -18 n > (-18)(-3) n > 54 The least integer greater than 54 is 55
3. explain how the lcm of a set of numbers can be equal to the greatest number in the set.
Take the set of numbers {2,4}. lcm(2,4) = 4, the greatest number in the set. This is so often the case, I can't see why they would ask this. Edwin

Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website!
.

            I will answer question (3), ONLY.

LCM of a finite set of positive integer numbers is equal to the greatest number in the set IF and ONLY IF the greatest number in the set is a MULTIPLE of all other numbers in the set.