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Mathematics

The solution set of 3x + 1 > 5x - 7, where x ∈ R, is :

  1. {x : x < 4, x ∈ R}

  2. {x : x > 4, x ∈ R}

  3. {x : x < 8, x ∈ R}

  4. {x : x > -4, x ∈ R}

Linear Inequations

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Answer

Given,

⇒ 3x + 1 > 5x - 7

⇒ 5x - 3x < 7 + 1

⇒ 2x < 8

⇒ x < 82\dfrac{8}{2}

⇒ x < 4

Since, x ∈ R

⇒ Solution set = {x : x < 4, x ∈ R}

Hence, Option 1 is the correct option.

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