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True or False The set of whole numbers is closed under subtraction Why?
False. The set of whole numbers is not closed under subtraction. Closure under subtraction means that when you subtract two whole numbers, the result is also a whole number. However, this is not always the case with whole numbers. For example, subtracting 5 from 3 results in -2, which is not a whole number.
Twice the smallest of three consecutive odd integers is seven more than the largest find the integers?
Let's represent the three consecutive odd integers as ( 2n-1 ), ( 2n+1 ), and ( 2n+3 ), where ( n ) is an integer. According to the given information, twice the smallest integer ( 2(2n-1) ) is equal to seven more than the largest integer ( 2n+3 ). Setting up the equation, we have ( 4n-2 = 2n+3+7 ). Solving this equation gives us ( n = 6 ). Therefore, the three consecutive odd integers are 11, 13, and 15.
A negative times or divided by a positive equals a?
A Negative times or divided by a Positive equals a Negative A Negative times or divided by a Negative gives a Positive A Positive times or divided by a Negative gives a Negative A Positive times or Divided by a Positive gives a Positive Zero is neither Positive or Negative so anything times Zero is not Positive or Negative.
Subtract -10 from -15?
Alright, buckle up buttercup. When you subtract a negative, it's like adding a positive. So, -15 minus -10 is the same as -15 plus 10, which equals -5. There you have it, simple math for your beautiful brain.
What is the smallest set of numbers closed under subtraction?
Any one of the sets of the form: {kz : where k is any fixed integer and z belongs to the set of all integers} Thus, k = 1 gives the set of all integers, k = 2 is the set of all even integers, k = 3 is the set of all multiples of 3, and so on. You might think that as k gets larger the sets become smaller because the gaps between numbers in the set increases. However, it is easy to prove that the cardinality of each of these infinite sets is the same.
