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explain why the equation |x-2|=-8 has no solution

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Explain why the equation |x-2|=-8 has no solution.

➨ An absolute value function is the distance between a number and zero. Hence, absolute value will never equate with a negative value since it is distance. In simple words, the absolute value is always positive. So |x–2|=–8 has no solution because it is a false statement.

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