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Solve for X in the Following In-equation, If the Replacement Set is R; - Mathematics

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Question

Solve for x in the following in-equation, if the replacement set is R; 

9 - 4x ≤ 15 - 7x 

Sum

Solution

9 - 4x ≤ 15 - 7x 

9 - 4x ≤15 - 7x 

9 - 15 ≤ 4x - 7x 

-6 ≤ -3x 

6 ≥ 3x ( multiplying by -1 changes the sign) 

x ≥ 2

Since, replacement set is R

Solution set= {x : x ∈ R and x ≤ 2}

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Linear Inequations in One Variable
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Chapter 5: Linear Inequations - Exercise 5.1 [Page 74]

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 5 Linear Inequations
Exercise 5.1 | Q 2.1 | Page 74
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