RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 19 of Exercise 15.1

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19

Solve the following linear inequations in R

Given


For this inequation to be true, there are two possible cases.


i. 6x – 5 > 0 and 4x + 1 < 0


6x – 5 + 5 > 0 + 5 and 4x + 1 – 1 < 0 – 1


6x > 5 and 4x < –1





However,


Hence, this case is not possible.


ii. 6x – 5 < 0 and 4x + 1 > 0


6x – 5 + 5 < 0 + 5 and 4x + 1 – 1 > 0 – 1


6x < 5 and 4x > –1





However,


Thus, the solution of the given inequation is.


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