RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 15. Linear Inequations

Subject: Maths - Class 11th

Q. No. 9 of Exercise 15.1

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9

Solve the following linear inequations in R

–(x – 3) + 4 < 5 – 2x

Given –(x – 3) + 4 < 5 – 2x


–x + 3 + 4 < 5 – 2x


–x + 7 < 5 – 2x


–x + 7 – 7 < 5 – 2x – 7


–x < –2x – 2


–x + 2x < –2x – 2 + 2x


x < –2


Thus, the solution of the given inequation is (–∞, –2).


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