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Solve the inequation: 12+156x≤5+3x and x∈R. - Mathematics

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Question

Solve the inequation:

`12 + 1 5/6 x ≤ 5 + 3x` and `x in R`.

Sum

Solution

`12 + 1 5/6 x <= 5 + 3x`

`11/6 x - 3x <= 5 - 12`

`(11x - 18x)/6 <= -7`

`(-7x)/6 <= -7`

`x >= (7 xx 6)/7`

`x >= 6`

∴ Solution set = {x : x ∈ R and x ≥ 6}

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Linear Inequations in One Variable
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Chapter 4: Linear Inequations (In one variable) - Exercise 4 (A) [Page 44]

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Selina Mathematics [English] Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
Exercise 4 (A) | Q 10 | Page 44
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