NCERT Class XI Mathematics - Linear Inequalities - Solutions

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Question : 56
Total: 65
- 12 < 4 -
3x
5
≤ 2
Solution:  
- 12 < 4 -
3x
5
≤ 2 Subtracting 4 from each side, we get
- 12 - 4 < 4 -
3x
5
- 4 ≤ 2 - 4
⇒ - 16 <
3x
5
≤ - 2
Multiplying each side by 5/3, we get - 16 ×
5
3
<
3x
5
×
5
3
≤ - 2×
5
3

⇒ -
80
3
< x ≤
10
3
or x ∊ (
80
3
,
10
3
]

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