{1/|4x - 5|} ≥ (1/8) অসমতাটির সমাধান কত?
Solution
Correct Answer: Option A
{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
⇒ |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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