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If set \(S\) consists of all different solutions of equation \(|x - 4| = x\), what is the range of set \(S\) ?
A. 0 B. 2 C. 4 D. 6 E. 8
If \(x\) is greater than or equal to 4, equation \(|x - 4| = x\) turns into \(x - 4 = x\). The last one has no solutions. If \(x\) is less than 4, equation \(|x - 4| = x\) turns into \(4 - x = x\) or \(x = 2\).
Thus, set \(S\) has only one element: 2. The range of any one-element set is 0.
please what doest it mean rage of set that has one element is 0 what if there two element ???
If there are 2 elements
Let 2 numbers be -1 and 5 Then range is 5-(-1) =6 Let 2 numbers -1 and -2 Range will be -1-(-2) = 2-1=1 If there are 2,2 then range is 0 Range is always >=0 Never negative.
If set \(S\) consists of all different solutions of equation \(|x - 4| = x\), what is the range of set \(S\) ?
A. 0 B. 2 C. 4 D. 6 E. 8
If \(x\) is greater than or equal to 4, equation \(|x - 4| = x\) turns into \(x - 4 = x\). The last one has no solutions. If \(x\) is less than 4, equation \(|x - 4| = x\) turns into \(4 - x = x\) or \(x = 2\).
Thus, set \(S\) has only one element: 2. The range of any one-element set is 0.
Answer: A
Point noted. simple logic. But would have costed more on the exam Thankfully, I learned it now itself
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23 Kudos left to unlock next level. Help me by Contributing one for cause .. Please
Does it mean number of elements, or does it mean number of subsets?
No of subsets = 2 ^ (no of elements within a set) , right?
Please give formula for finding range of a set
The range of a set is the difference between the largest element of the set and the smallest element of the set. For example, the range of {-2, 7, 11} is 11 - (-2) = 13.