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Find the largest value of x for which 2(x – 1) ≤ 9 – x and x ∈ W. - Mathematics

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Question

Find the largest value of x for which 2(x – 1) ≤ 9 – x and x ∈ W.

Sum
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Solution

2(x – 1) ≤ 9 – x

2x – 2 ≤ 9 – x

2x + x ≤ 9 + 2

3x ≤ 11

`x ≤ 11/3`

x ≤ 3.66

Since, x ∈ W, thus the required largest value of x is 3.

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