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Question

Number of real solutions of the equation |||x21|1|+3|=1 is

A
1
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B
2
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C
3
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D
0
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Solution

The correct option is D 0
|||x21|1|+3|=1
||x21|1|+3=+1 or ||x21|1|+3=1

case 1, ||x21|1|+3=+1
||x21|1|=2,
That is not possible

case 2, ||x21|1|+3=1
||x21|1|=4,
That is not possible
Hence, there is no solution for the given equation.
So, number of real solutions is 0

Alternate :
|||x21|1|+3|=1
Since, we know that ||x21|1|0 (always)
|||x21|1|+3|3 (always)
|||x21|1|+3|=1 has no real solution

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