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NCERT Class XI Mathematics - Linear Inequalities - Solutions
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Question : 54 of 65
Marks:
+1,
-0
- 3 ≤ 4 - ≤ 18
Solution:
Subtracting 4, we get - 3 - 4 ≤ 4 - - 4 ≤ 18 - 4 or - 7 ≤ ≤ 14 Multiplying each side by − , we get - 7 × ≥ x × ≥ 14 × 2 ≥ x ≥ – 4 or –4 ≤ x ≤ 2 ∴ x is less than or equal to 2 and greater than or equal to –4. i.e., x ∈ [– 4, 2]
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