|r-9|>4: the absolute value of r minus 9 when r-9 is greater than or equal to 4. I need to find all possible solutions for R.

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|r - 9| > 4

implies

r - 9 > 4 or -(r - 9) > 4

r > 9 + 4 or -r + 9 > 4

r > 13 or -r > 4 - 9

r > 13 or -r > -5

So, the solution is

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