NCERT Class XI Mathematics - Linear Inequalities - Solutions

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Question : 54
Total: 65
- 3 ≤ 4 -
7x
2
≤ 18
Solution:  
Subtracting 4, we get - 3 - 4 ≤ 4 -
7x
2
- 4 ≤ 18 - 4 or - 7 ≤
7x
2
≤ 14
Multiplying each side by −
2
7
, we get
- 7 × (
2
7
)
7
2
x × (
1
7
)
≥ 14 × (
2
7
)

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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