Subject

    গাণিতিক যুক্তি

    Topic

    অসমতা

    {1/|4x - 5|} ≥ (1/8) অসমতাটির সমাধান কত?

    ক)
    (-3/4) ≤ x ≤ (13/4)
    খ)
    (-3/4) < x < (13/4)
    গ)
    (-3/4) ≤ x < (13/4)
    ঘ)
    (-3/4) < x ≤ (13/4)

    Explanation

    {1/|4x - 5|} ≥ (1/8) ⇒ |4x - 5| ≤ 8 ⇒ - 8 ≤ 4x - 5 ≤ 8 ⇒ - 8 + 5 ≤ 4x - 5 + 5 ≤ 8 + 5 ⇒ - 3 ≤ 4x ≤ 13 ⇒ - 3/4 ≤ 4x/4 ≤ 13/4 ⇒ - 3/4 ≤ x ≤ 13/4

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