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Number of integers satisfying the inequa...

Number of integers satisfying the inequality `(log)_(1/2)|x-3|> -1` is.....

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Verified by Experts

The correct Answer is:
2
`log_(1//2)|x-3|gt - 1`
` rArr 0 lt |x-3| lt 2`
` rArr - 2 lt x - 3 lt 2, x ne 3 `
` rArr 1 lt x lt 5, x ne 3`
` :. x in {2, 4}`
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Numerical Value Type
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