NCERT Class XI Mathematics - Linear Inequalities - Solutions

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Question : 19
Total: 65
3(1 – x) < 2(x + 4)
Solution:  
3(1 – x) < 2(x + 4)
Simplifying 3 – 3x < 2x + 8
Transposing 2x to L.H.S. and 3 to R.H.S., we get
–3x – 2x < 8 – 3 or –5x < 5
Dividing both sides by –5, we get x > –1

∴ The solution is (–1, ∞).
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