In an absolute value inequality what does less than stand for

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Equ. #2:

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Equ. #4:

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Equ. #6:

Equ. #7:

Equ. #8:

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Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

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Ineq. #7:

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