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Number of solutions for|4–|x–1|| = –2

Question

Number of solutions for|4–|x–1|| = –2

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Solution

The equation you've given is |4–|x–1|| = –2.

However, it's important to note that the absolute value of a number is always non-negative. This means it can either be positive or zero, but never negative.

Therefore, the equation |4–|x–1|| = –2 has no solution because the absolute value cannot equal a negative number.

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