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Mathematics

Find the largest value of x for which

2(x - 1) ≤ 9 - x and x ∈ W.

Linear Inequations

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Answer

Given,

⇒ 2(x - 1) ≤ 9 - x

⇒ 2x - 2 ≤ 9 - x

⇒ 2x + x ≤ 9 + 2

⇒ 3x ≤ 11

⇒ x ≤ 113\dfrac{11}{3}

⇒ x ≤ 3.67

Since, x ∈ W

Hence, largest value of x for which 2(x - 1) ≤ 9 - x is 3.

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