Posted by ann on Saturday, January 28, 2012 at 10:10pm.
-3|6n-2| +5 = 8
case I: absolute value is positive. thus,
-3(6n-2) + 5 = 8
-3(6n-2) = 8 - 5
-3(6n-2) = 3
6n - 2 = -1
6n = 1
n = 1/6
case II: absolute value is negative. thus,
-3[-(6n-2)] + 5 = 8
3(6n-2) + 5 = 8
3(6n-2) = 3
6n - 2 = 1
6n = 3
n = 1/2
NOTE: these are not yet the answers. we must check if they satisfy the original equation by substituting each:
n = 1/6:
-3|6n-2| + 5 = 8
-3|6*1/6 - 2| + 5 = 8
-3|1-2| + 5 = 8
-3|-1| + 5 = 8
-3(1) + 5 = 8
-3 + 5 = 8
2 = 8 (this cannot be, thus n = 1/6 is not a solution)
n = 1/2:
-3|6n-2| + 5 = 8
-3|6*1/2 - 2| + 5 = 8
-3|3 - 2| + 5 = 8
-3|1| + 5 = 8
-3 + 5 = 8
2 = 8 (this cannot be, thus n = 1/6 is not a solution)
Therefore, no solution exists.
If you have questions, don't hesitate to ask. :)
Hope this helps~ :)
thank you very much Jai for taking the time to help me ann
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