Question 696414: Which of the following is not an equal set?
i) A = {4, 3, 2, 1 } B= {1, 3, 2, 4 }
ii) A ={ 2, 3 } , B = { 3, 2 }, C = { x:x2 – 5x – 6 =0 }
iii) A = { 4, 5 ) B = { 5, 4 }
iv) A = { 6, 7, 8 } B= { Six, seven, eight }
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website! Which of the following is not an equal set?
i) A = {4, 3, 2, 1 } B= {1, 3, 2, 4 }
Those are equal sets because the order in which they are written
does not matter.
ii) A ={ 2, 3 } , B = { 3, 2 }, C = { x:x² – 5x – 6 =0 }
A and B are equal sets because the order in which elements are written
does not matter. Let's solve the equation in C to find out what
elements it has:
x² - 5x - 6 = 0
(x+1)(x-6) = 0
x+1 = 0; x-6 = 0
x = -1; x = 6
Aha! That's the set C = {-1, 6}, not the set (2, 3}.
[Note: If it had been C = { x:x² – 5x + 6 =0 }, with +6 instead
of -6, C would have been the same set as A and B]
iii) A = { 4, 5 ) B = { 5, 4 }
Those are equal sets because the order in which they are written does not matter.
iv) A = { 6, 7, 8 } B= { Six, seven, eight }
Those are equal sets because the numerals for the numbers and the words
for the numbers are both symbols for the same numbers.
Edwin
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