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Home » Solve each of the following system of equations in R – 5x – 1 < 24, 5x + 1 > –24
Solve each of the following system of equations in R – 5x – 1 < 24, 5x + 1 > –24
CBSE | Class 11 | Exercise 15.2 | Linear Inequations | Maths | RD Sharma
Solve each of the following system of equations in R – 5x – 1 < 24, 5x + 1 > –24

5 x-1<24 and 5 x+1>-24

5 x-1<24

5 x-1+1<24+1

5 x<25

Dividing both the sides by 5 we get,

5 x / 5<25 / 5

x<5

\therefore \mathrm{x} \in(-\infty, 5) \ldots(1)

Now,

5 x+1>-24

5 x+1-1>-24-1

5 x>-25

Dividing both the sides by 5 we get,

5 \times / 5>-25 / 5

x>-5

\therefore \mathrm{x} \in(-5, \infty) \ldots(2)

From (1) and (2), we get

\mathrm{x} \in(-\infty, 5) \cap(-5, \infty)

x \in(-5,5)

\therefore The solution of the given system of inequations is (-5,5).

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