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Solve the inequality - 3 ≤ 4 - 7x/2 ≤ 18
Solution:
- 3 ≤ 4 - 7x/2 ≤ 18
⇒ - 3 - 4 ≤ - 7x/2 ≤ 18 - 4
⇒ - 7 ≤ - 7x/2 ≤ 14
⇒ 7 ≤ 7x/2 ≤ - 14
⇒ 1 ≥ x/2 ≥ - 2
⇒ 2 ≥ x ≥ - 4
⇒ - 4 ≤ x ≤ 2
Thus, the solution set for the given inequality is [- 4, 2]
NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 3
Solve the inequality - 3 ≤ 4 - 7x/2 ≤ 18
Summary:
Linear inequalities - 3 ≤ 4 - 7x/2 ≤ 18 is given. We have found that solution set for the given inequality is [- 4, 2]
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