Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Expert Solution & Answer
Chapter 1.4, Problem 53HP
Solution
(a)
Is the set of whole numbers closed under subtraction . If not give a counterexample.
Given :
If you take any two whole numbers and add them together, the sum is always a whole number. This is the closure property for addition. The set of whole number is cosed under addition.
Explanation:
In order to find is the set of whole numbers closed under subtraction . If not give a counterexample, No the set of whole numbers is not closed under subtraction . for example:
Which is not a whole number.
(b)
Would this set be closed under addition. If not give a counterexample.
NO
Given :
If you take any two whole numbers and add them together, the sum is always a whole number. This is the closure property for addition. The set of whole number is cosed under addition. Suppose you had a very small set of numbers that contained only 0 and 1.
Explanation:
In order to find would this set be closed under addition. If not give a counterexample, No this set would not be closed under addition because for example:
Which is outside the set .
(c)
There is also a closure property for multiplication of whole numbers. State this property using the addition property above as a guideline.
Given :
If you take any two whole numbers and add them together, the sum is always a whole number. This is the closure property for addition. The set of whole number is cosed under addition. There is also a closure property for multiplication of whole numbers.
Explanation:
In order to write the property using the addition property, there is also a closure property for multiplication of whole numbers, now to state this property using the addition property, if you take any two whole numbers and multiply them, the product is always a whole number.
(d)
Is the set (0,1) closed under multiplication. Explain.
Explanation:
In order to find the set (0,1) is closed under multiplication, first closed under multiplication means if you take any two whole number and multiply them, the product is always a whole number, so multiplying 0 and 1 then it will get 0 which is a whole number.
So, the set (0,1) is closed under multiplication.
Chapter 1 Solutions
Glencoe Math Accelerated, Student Edition
Ch. 1.1 - Prob. 1GPCh. 1.1 - Prob. 2GPCh. 1.1 - Prob. 3GPCh. 1.1 - Prob. 4IPCh. 1.1 - Prob. 5IPCh. 1.1 - Prob. 6IPCh. 1.1 - Prob. 7IPCh. 1.1 - Prob. 8IPCh. 1.1 - Prob. 9HPCh. 1.1 - Prob. 10HP
Ch. 1.1 - Prob. 11HPCh. 1.1 - Prob. 12HPCh. 1.1 - Prob. 13STPCh. 1.1 - Prob. 14STPCh. 1.1 - Prob. 15STPCh. 1.1 - Prob. 16CCRCh. 1.1 - Prob. 17CCRCh. 1.1 - Prob. 18CCRCh. 1.1 - Prob. 19CCRCh. 1.1 - Prob. 20CCRCh. 1.1 - Prob. 21CCRCh. 1.1 - Prob. 22CCRCh. 1.1 - Prob. 23CCRCh. 1.1 - Prob. 24CCRCh. 1.2 - Prob. 1GPCh. 1.2 - Prob. 2GPCh. 1.2 - Prob. 3GPCh. 1.2 - Prob. 4GPCh. 1.2 - Prob. 5GPCh. 1.2 - Prob. 6GPCh. 1.2 - Prob. 7GPCh. 1.2 - Prob. 8GPCh. 1.2 - Prob. 9GPCh. 1.2 - Prob. 10GPCh. 1.2 - Prob. 11GPCh. 1.2 - Prob. 12IPCh. 1.2 - Prob. 13IPCh. 1.2 - Prob. 14IPCh. 1.2 - Prob. 15IPCh. 1.2 - Prob. 16IPCh. 1.2 - Prob. 17IPCh. 1.2 - Prob. 18IPCh. 1.2 - Prob. 19IPCh. 1.2 - Prob. 20IPCh. 1.2 - Prob. 21IPCh. 1.2 - Prob. 22IPCh. 1.2 - Prob. 23IPCh. 1.2 - Prob. 24IPCh. 1.2 - Prob. 25IPCh. 1.2 - Prob. 26IPCh. 1.2 - Prob. 27IPCh. 1.2 - Prob. 28IPCh. 1.2 - Prob. 29IPCh. 1.2 - Prob. 30IPCh. 1.2 - Prob. 31IPCh. 1.2 - Prob. 32IPCh. 1.2 - Prob. 33IPCh. 1.2 - Prob. 34IPCh. 1.2 - Prob. 35HPCh. 1.2 - Prob. 36HPCh. 1.2 - Prob. 37HPCh. 1.2 - Prob. 38STPCh. 1.2 - Prob. 39STPCh. 1.2 - Prob. 40STPCh. 1.2 - Prob. 41STPCh. 1.2 - Prob. 42CCRCh. 1.2 - Prob. 43CCRCh. 1.2 - Prob. 44CCRCh. 1.2 - Prob. 45CCRCh. 1.2 - Prob. 46CCRCh. 1.2 - Prob. 47CCRCh. 1.2 - Prob. 48CCRCh. 1.2 - Prob. 49CCRCh. 1.2 - Prob. 50CCRCh. 1.3 - Prob. 1GPCh. 1.3 - Prob. 2GPCh. 1.3 - Prob. 3GPCh. 1.3 - Prob. 4GPCh. 1.3 - Prob. 5GPCh. 1.3 - Prob. 6GPCh. 1.3 - Prob. 7GPCh. 1.3 - Prob. 8GPCh. 1.3 - Prob. 9GPCh. 1.3 - Prob. 10GPCh. 1.3 - Prob. 11GPCh. 1.3 - Prob. 12IPCh. 1.3 - Prob. 13IPCh. 1.3 - Prob. 14IPCh. 1.3 - Prob. 15IPCh. 1.3 - Prob. 16IPCh. 1.3 - Prob. 17IPCh. 1.3 - Prob. 18IPCh. 1.3 - Prob. 19IPCh. 1.3 - Prob. 20IPCh. 1.3 - Prob. 21IPCh. 1.3 - Prob. 22IPCh. 1.3 - Prob. 23IPCh. 1.3 - Prob. 24IPCh. 1.3 - Prob. 25IPCh. 1.3 - Prob. 26IPCh. 1.3 - Prob. 27IPCh. 1.3 - Prob. 28IPCh. 1.3 - Prob. 29IPCh. 1.3 - Prob. 30IPCh. 1.3 - Prob. 31IPCh. 1.3 - Prob. 32IPCh. 1.3 - Prob. 33IPCh. 1.3 - Prob. 34IPCh. 1.3 - Prob. 35IPCh. 1.3 - Prob. 36IPCh. 1.3 - Prob. 37IPCh. 1.3 - Prob. 38IPCh. 1.3 - Prob. 39IPCh. 1.3 - Prob. 40IPCh. 1.3 - Prob. 41IPCh. 1.3 - Prob. 42HPCh. 1.3 - Prob. 43HPCh. 1.3 - Prob. 44HPCh. 1.3 - Prob. 45HPCh. 1.3 - Prob. 46STPCh. 1.3 - Prob. 47STPCh. 1.3 - Prob. 48STPCh. 1.3 - Prob. 49STPCh. 1.3 - Prob. 50CCRCh. 1.3 - Prob. 51CCRCh. 1.3 - Prob. 52CCRCh. 1.3 - Prob. 53CCRCh. 1.3 - Prob. 54CCRCh. 1.3 - Prob. 55CCRCh. 1.3 - Prob. 56CCRCh. 1.3 - Prob. 57CCRCh. 1.3 - Prob. 58CCRCh. 1.3 - Prob. 59CCRCh. 1.3 - Prob. 60CCRCh. 1.3 - Prob. 61CCRCh. 1.3 - Prob. 62CCRCh. 1.3 - Prob. 63CCRCh. 1.3 - Prob. 64CCRCh. 1.3 - Prob. 65CCRCh. 1.3 - Prob. 66CCRCh. 1.3 - Prob. 67CCRCh. 1.3 - Prob. 68CCRCh. 1.3 - Prob. 69CCRCh. 1.3 - Prob. 70CCRCh. 1.3 - Prob. 71CCRCh. 1.4 - Prob. 1GPCh. 1.4 - Prob. 2GPCh. 1.4 - Prob. 3GPCh. 1.4 - Prob. 4GPCh. 1.4 - Prob. 5GPCh. 1.4 - Prob. 6GPCh. 1.4 - Prob. 7GPCh. 1.4 - Prob. 8GPCh. 1.4 - Prob. 9GPCh. 1.4 - Prob. 10GPCh. 1.4 - Prob. 11GPCh. 1.4 - Prob. 12GPCh. 1.4 - Prob. 13GPCh. 1.4 - Prob. 14GPCh. 1.4 - Prob. 15GPCh. 1.4 - Prob. 16GPCh. 1.4 - Prob. 17GPCh. 1.4 - Prob. 18IPCh. 1.4 - Prob. 19IPCh. 1.4 - Prob. 20IPCh. 1.4 - Prob. 21IPCh. 1.4 - Prob. 22IPCh. 1.4 - Prob. 23IPCh. 1.4 - Prob. 24IPCh. 1.4 - Prob. 25IPCh. 1.4 - Prob. 26IPCh. 1.4 - Prob. 27IPCh. 1.4 - Prob. 28IPCh. 1.4 - Prob. 29IPCh. 1.4 - Prob. 30IPCh. 1.4 - Prob. 31IPCh. 1.4 - Prob. 32IPCh. 1.4 - Prob. 33IPCh. 1.4 - Prob. 34IPCh. 1.4 - Prob. 35IPCh. 1.4 - Prob. 36IPCh. 1.4 - Prob. 37IPCh. 1.4 - Prob. 38IPCh. 1.4 - Prob. 39IPCh. 1.4 - Prob. 40IPCh. 1.4 - Prob. 41IPCh. 1.4 - Prob. 42IPCh. 1.4 - Prob. 43IPCh. 1.4 - Prob. 44IPCh. 1.4 - Prob. 45IPCh. 1.4 - Prob. 46IPCh. 1.4 - Prob. 47IPCh. 1.4 - Prob. 48IPCh. 1.4 - Prob. 49IPCh. 1.4 - Prob. 50HPCh. 1.4 - Prob. 51HPCh. 1.4 - Prob. 52HPCh. 1.4 - Prob. 53HPCh. 1.4 - Prob. 54HPCh. 1.4 - Prob. 55STPCh. 1.4 - Prob. 56STPCh. 1.4 - Prob. 57STPCh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59CCRCh. 1.4 - Prob. 60CCRCh. 1.4 - Prob. 61CCRCh. 1.4 - Prob. 62CCRCh. 1.4 - Prob. 63CCRCh. 1.4 - Prob. 64CCRCh. 1.4 - Prob. 65CCRCh. 1.4 - Prob. 66CCRCh. 1.4 - Prob. 67CCRCh. 1.4 - Prob. 68CCRCh. 1.4 - Prob. 69CCRCh. 1.4 - Prob. 70CCRCh. 1.4 - Prob. 71CCRCh. 1.4 - Prob. 72CCRCh. 1.4 - Prob. 73CCRCh. 1.4 - Prob. 74CCRCh. 1.4 - Prob. 75CCRCh. 1.4 - Prob. 76CCRCh. 1.4 - Prob. 77CCRCh. 1.4 - Prob. 78CCRCh. 1.4 - Prob. 79CCRCh. 1.4 - Prob. 80CCRCh. 1.5 - Prob. 1GPCh. 1.5 - Prob. 2GPCh. 1.5 - Prob. 3GPCh. 1.5 - Prob. 4GPCh. 1.5 - Prob. 5IPCh. 1.5 - Prob. 6IPCh. 1.5 - Prob. 7IPCh. 1.5 - Prob. 8IPCh. 1.5 - Prob. 9IPCh. 1.5 - Prob. 10IPCh. 1.5 - Prob. 11IPCh. 1.5 - Prob. 12IPCh. 1.5 - Prob. 13IPCh. 1.5 - Prob. 14IPCh. 1.5 - Prob. 15IPCh. 1.5 - Prob. 16HPCh. 1.5 - Prob. 17HPCh. 1.5 - Prob. 18HPCh. 1.5 - Prob. 19HPCh. 1.5 - Prob. 20STPCh. 1.5 - Prob. 21STPCh. 1.5 - Prob. 22STPCh. 1.5 - Prob. 23STPCh. 1.5 - Prob. 24CCRCh. 1.5 - Prob. 25CCRCh. 1.5 - Prob. 26CCRCh. 1.5 - Prob. 27CCRCh. 1.5 - Prob. 28CCRCh. 1.5 - Prob. 29CCRCh. 1.5 - Prob. 30CCRCh. 1.5 - Prob. 31CCRCh. 1.5 - Prob. 32CCRCh. 1.5 - Prob. 33CCRCh. 1.5 - Prob. 34CCRCh. 1.5 - Prob. 35CCRCh. 1.6 - Prob. 1GPCh. 1.6 - Prob. 2GPCh. 1.6 - Prob. 3GPCh. 1.6 - Prob. 4GPCh. 1.6 - Prob. 5GPCh. 1.6 - Prob. 6GPCh. 1.6 - Prob. 7GPCh. 1.6 - Prob. 8GPCh. 1.6 - Prob. 9GPCh. 1.6 - Prob. 10GPCh. 1.6 - Prob. 11GPCh. 1.6 - Prob. 12IPCh. 1.6 - Prob. 13IPCh. 1.6 - Prob. 14IPCh. 1.6 - Prob. 15IPCh. 1.6 - Prob. 16IPCh. 1.6 - Prob. 17IPCh. 1.6 - Prob. 18IPCh. 1.6 - Prob. 19IPCh. 1.6 - Prob. 20IPCh. 1.6 - Prob. 21IPCh. 1.6 - Prob. 22IPCh. 1.6 - Prob. 23IPCh. 1.6 - Prob. 24IPCh. 1.6 - Prob. 25IPCh. 1.6 - Prob. 26IPCh. 1.6 - Prob. 27IPCh. 1.6 - Prob. 28IPCh. 1.6 - Prob. 29IPCh. 1.6 - Prob. 30IPCh. 1.6 - Prob. 31IPCh. 1.6 - Prob. 32IPCh. 1.6 - Prob. 33IPCh. 1.6 - Prob. 34IPCh. 1.6 - Prob. 35IPCh. 1.6 - Prob. 36IPCh. 1.6 - Prob. 37HPCh. 1.6 - Prob. 38HPCh. 1.6 - Prob. 39HPCh. 1.6 - Prob. 40HPCh. 1.6 - Prob. 41STPCh. 1.6 - Prob. 42STPCh. 1.6 - Prob. 43STPCh. 1.6 - Prob. 44STPCh. 1.6 - Prob. 45CCRCh. 1.6 - Prob. 46CCRCh. 1.6 - Prob. 47CCRCh. 1.6 - Prob. 48CCRCh. 1.6 - Prob. 49CCRCh. 1.6 - Prob. 50CCRCh. 1.6 - Prob. 51CCRCh. 1.6 - Prob. 52CCRCh. 1.6 - Prob. 53CCRCh. 1.6 - Prob. 54CCRCh. 1.6 - Prob. 55CCRCh. 1.6 - Prob. 56CCRCh. 1.6 - Prob. 57CCRCh. 1.6 - Prob. 58CCRCh. 1.6 - Prob. 59CCRCh. 1.6 - Prob. 60CCRCh. 1.6 - Prob. 61CCRCh. 1.6 - Prob. 62CCRCh. 1.6 - Prob. 63CCRCh. 1.7 - Prob. 1GPCh. 1.7 - Prob. 2GPCh. 1.7 - Prob. 3GPCh. 1.7 - Prob. 4IPCh. 1.7 - Prob. 5IPCh. 1.7 - Prob. 6IPCh. 1.7 - Prob. 7IPCh. 1.7 - Prob. 8IPCh. 1.7 - Prob. 9IPCh. 1.7 - Prob. 10IPCh. 1.7 - Prob. 11IPCh. 1.7 - Prob. 12HPCh. 1.7 - Prob. 13HPCh. 1.7 - Prob. 14HPCh. 1.7 - Prob. 15HPCh. 1.7 - Prob. 16HPCh. 1.7 - Prob. 17HPCh. 1.7 - Prob. 18HPCh. 1.7 - Prob. 19HPCh. 1.7 - Prob. 20CCRCh. 1.7 - Prob. 21CCRCh. 1.7 - Prob. 22CCRCh. 1.7 - Prob. 23CCRCh. 1.7 - Prob. 24CCRCh. 1.7 - Prob. 25CCRCh. 1.7 - Prob. 26CCRCh. 1.7 - Prob. 27CCRCh. 1.7 - Prob. 28CCRCh. 1.7 - Prob. 29CCRCh. 1.7 - Prob. 30CCRCh. 1.7 - Prob. 31CCRCh. 1.7 - Prob. 32CCRCh. 1.7 - Prob. 33CCRCh. 1.7 - Prob. 34CCRCh. 1.7 - Prob. 35CCRCh. 1.7 - Prob. 36CCRCh. 1.7 - Prob. 37CCRCh. 1.7 - Prob. 38CCRCh. 1.7 - Prob. 39CCRCh. 1.7 - Prob. 40CCRCh. 1.7 - Prob. 41CCRCh. 1.7 - Prob. 42CCRCh. 1.7 - Prob. 43CCRCh. 1.7 - Prob. 44CCRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CR
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