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A day full of math games & activities. Find one near you.
Solve the given inequality for real x : 3( x - 2)/5 ≤ 5(2 - x)/3
Solution:
3( x - 2)/5 ≤ 5(2 - x)/3
⇒ 9( x - 2) ≤ 25(2 - x)
⇒ 9x - 18 ≤ 50 - 25x
⇒ 9x + 25x ≤ 50 + 18
⇒ 34x ≤ 68
⇒ x ≤ 68/34
⇒ x ≤ 2
Thus, all real numbers x,
which are less than or equal to 2, are the solutions of the given inequality.
Hence, the solution set of the given inequality is (- ∞, 2]
NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 11
Solve the given inequality for real x : 3( x - 2)/5 ≤ 5(2 - x)/3
Summary:
A linear inequation 3( x - 2)/5 ≤ 5(2 - x)/3 is given. We have found that the solution set of the given inequality is (- ∞, 2]
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