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Solution set of the inequality: x - 5 > 4x + 7 is

A (- ∞, - 4)

B [- ∞, - 4)

C (- ∞, - 4]

D [- ∞, - 4]

Solution

Correct Answer: Option A

x - 5 > 4x + 7
⇒ - 5 > 4x - x + 7
⇒ - 5 > 3x + 7
⇒ - 5 - 7 > 3x
⇒ - 12 > 3x
⇒ - 12/3 > 3x/3
⇒ - 4 > x
⇒ x < - 4

∴ নির্ণেয় সমাধান সেট: (- ∞, - 4)

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