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put this solution on YOUR website!absolute value of (x-4) > 3
if x > 7 then x-4 > 3 so that satisfies the equation because the absolute value of a positive number is the positive number.
if x < 1 then x-4 < -3 which makes the absolute value > 3 since the absolute value of a negative number is a positive number of the same value.
testing 1 <= x <= 7 yields the following:
if x = 1 then x - 4 = -3 then absolute value = + 3 which is not > 3.
if x = 2 then x - 4 = -2 then absolute value = + 2 which is not > 3.
if x = 3 then x - 4 = -2 etc.
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if x = 6 then x - 4 = 2 which is not > 3.
if x = 7 then x - 4 = 3 which is not > 3.
