The expression given without the absolute value symbol are x - 8 and -x + 8 respectively.
How to write modulus as expression
Given the absolute expression |(x-19)+11|
The absolute value can be both positive and negative.
If the modulus expression is positive, then the expression is x - 19 + 11 which is x - 8
If the modulus expression is negative then;
|(x-19)+11| = -[(x-19) + 11]
|(x-19)+11| = -(x-19) - 11
|(x-19)+11| = -x + 19 - 11
|(x-19)+11| = -x + 8
Hence the expression without the absolute value symbol are x - 8 and -x + 8
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