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Mathematics

The maximum value of x for the inequation 4x ≤ 12 + x is :

  1. 5

  2. 4

  3. 3

  4. 2.4

Linear Inequations

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Answer

Given,

⇒ 4x ≤ 12 + x

⇒ 4x - x ≤ 12

⇒ 3x ≤ 12

⇒ x ≤ 123\dfrac{12}{3}

⇒ x ≤ 4

∴ Maximum value of x will be 4.

Hence, Option 2 is the correct option.

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