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Solve the Following Linear In-equation and Graph the Solution Set on a Real Number Line - Mathematics

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Question

Solve the following linear in-equation and graph the solution set on a real number line :

3x - 9 ≤ 4x - 7 < 2x + 5,  x ∈  R 

Sum

Solution

3x - 9 ≤ 4x - 7

3x - 4x ≤ -7+9

- x ≤ 2

x ≥ -2 

and 

4x - 7 < 2x + 5

4x - 2x < 5 +7

2x < 12

x < 6

Solution set = [-2 ≤ x < 6]

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Representation of Solution on the Number Line
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Chapter 5: Linear Inequations - Exercise 5.1 [Page 75]

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 5 Linear Inequations
Exercise 5.1 | Q 13.04 | Page 75
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