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Mathematics

The value of x for the inequation 3x + 5 < 5x + 13, x ∈ Z is :

  1. x > 1

  2. x < 1

  3. x = 1

  4. x ≥ 1

Linear Inequations

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Answer

Given,

⇒ 3x + 5 < 5x + 13

⇒ 5x - 3x > 13 - 5

⇒ 2x > 8

⇒ x > 82\dfrac{8}{2}

⇒ x > 4.

Since, x > 4 so it is also greater than 1.

⇒ x > 1.

Hence, Option 1 is the correct option.

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