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Mathematics

The largest value of x for which, 3(x - 2) ≤ 6 - x, where x ∈ W, is :

  1. 3

  2. 4

  3. 6

  4. none of these

Linear Inequations

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Answer

Given,

⇒ 3(x - 2) ≤ 6 - x

⇒ 3x - 6 ≤ 6 - x

⇒ 3x + x ≤ 6 + 6

⇒ 4x ≤ 12

⇒ x ≤ 124\dfrac{12}{4}

⇒ x ≤ 3

So, the largest whole number value of x = 3.

Hence, Option 1 is the correct option.

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