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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve the given inequality for real x : 1/2 (3x/5 + 4) ≥ 1/3 (x - 6)
Solution:
1/3 (3x/5 + 4) ≥ 1/3 (x - 6)
⇒ 3 (3x/5 + 4) ≥ 2 (x - 6)
⇒ (9x + 5)/12 ≥ 2x - 12
⇒ 12 + 12 ≥ 2x - 9x/5
⇒ 24 ≥ (10x - 9x)/5
⇒ 24 ≥ x/5
⇒ x ≤ 120
Thus, all real numbers x,
which are less than or equal to 120, are the solutions of the given inequality
Hence, the solution set of the given inequality is (- ∞, 120]
NCERT Solutions Class 11 Maths Chapter 6 Exercise 6.1 Question 12
Solve the given inequality for real x : 1/3 (3x/5 + 4) ≥ 1/3 (x - 6)
Summary:
A linear inequation 1/3 (3x/5 + 4) ≥ 1/3 (x - 6) is given. We have found that the solution set of the given inequality is (- ∞, 120]
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