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Mathematics

The value of x, for 4(2x - 5) < 2x + 28, x ∈ R, is :

  1. x > 8

  2. x < 8

  3. x > -8

  4. x < -8

Linear Inequations

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Answer

Given,

⇒ 4(2x - 5) < 2x + 28

⇒ 8x - 20 < 2x + 28

⇒ 8x - 2x < 28 + 20

⇒ 6x < 48

⇒ x < 486\dfrac{48}{6}

⇒ x < 8.

Hence, Option 2 is the correct option.

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