|w| + 1.2 > 0.8 solution or no solution

You said              | w | + 1.2 > 0.8

Subtract  1.2  from each side:    | w | > -0.4

The absolute value of a number is always positive.
EVERY value of 'w' has an absolute value greater than -0.4 .
EVERY number is a solution to the equation.
There are an infinite number of them.
 

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