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The maximum value of x (x ∈ Z) for the inequation 4x ≤ 12 + x is ______.

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Question

The maximum value of x (x ∈ Z) for the inequation 4x ≤ 12 + x is ______.

Options

  • 5

  • 4

  • 3

  • 2.4

MCQ
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Solution

The maximum value of x (x ∈ Z) for the inequation 4x ≤ 12 + x is 4.

Explanation:

Given 4x ≤ 12 + x

`\implies` 4x – x ≤ 12

`\implies` 3x ≤ 12

`\implies` x ≤ 4

∴ Maximum value of x = 4

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Chapter 4: Linear Inequations (In one variable) - TEST YOURSELF [Page 47]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
TEST YOURSELF | Q 1. (a) | Page 47
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