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The solution set of the inequation ∣8x−7∣≤23|8x-7|\le\dfrac{2}{3} is

Solution

✅ Correct Option: 3

The inequality gives −23≤8x−7≤23-\dfrac23\le8x-7\le\dfrac23, so 193≤8x≤233\dfrac{19}{3}\le8x\le\dfrac{23}{3} and 1924≤x≤2324\dfrac{19}{24}\le x\le\dfrac{23}{24}. Since equality is allowed, both endpoints are included.

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