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X2+5≤x3+6x2+5≤x3+6x/(2) + 5 ≤ x/(3) + 6 where x is a positive odd integer. - Mathematics

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Question

`x/(2) + 5 ≤ x/(3) + 6` where x is a positive odd integer.

Sum

Solution

`x/(2) + 5 ≤ x/(3) + 6`

⇒ `x/(2) - x/(3) ≤ 6 - 5`

⇒ `(3x - 2x)/(6) ≤ 1`

⇒ `x/(6) ≤ 1`
⇒ x ≤ 6
∵ x is a positive odd integer
∴ x = {1, 3, 5}.

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Solving Algebraically and Writing the Solution in Set Notation Form
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Chapter 4: Linear Inequations - Exercise 4.1

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ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 4 Linear Inequations
Exercise 4.1 | Q 15.1
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