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Least positive inegral value of x satisf...

Least positive inegral value of `x` satisfying `|4x + 3| + |3x - 4| = |7x - 1|` is

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The correct Answer is:
2

`|4x + 3| + |3x - 4| = |4x + 3 + 3x - 4|`
`|a| + |b| = |a + b|`
`ab ge 0`
`(4x + 3)(3x - 4) ge 0`
`x in (-oo, -(3)/(4))cup[(4)/(5), oo)`
Least positibe integral value of `x` satisfying the equation is `2`
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