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NCERT Class XI Mathematics - Linear Inequalities - Solutions

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Question : 56 of 65
Marks: +1, -0
- 12 < 4 - 3x5\frac{3x}{-5} ≤ 2
Solution:  
- 12 < 4 - 3x5\frac{3x}{-5} ≤ 2 Subtracting 4 from each side, we get
- 12 - 4 < 4 - 3x5\frac{3x}{-5} - 4 ≤ 2 - 4
⇒ - 16 < 3x5\frac{3x}{5} ≤ - 2
Multiplying each side by 5/3, we get - 16 × 53\frac{5}{3} < 3x5\frac{3x}{5}× 53\frac{5}{3} ≤ - 2× 53\frac{5}{3}
⇒ - 803\frac{80}{3} < x ≤ 103\frac{-10}{3} or x ∊ (803,103)\left(\frac{-80}{3},\frac{-10}{3}\right)
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