NCERT Class XI Mathematics - Linear Inequalities - Solutions
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Question : 8
Total: 65
3(2 – x) ≥ 2(1 – x)
Solution:
The inequality is 3(2 – x) ≥ 2(1 – x) or 6 – 3x ≥ 2 – 2x
Transposing –2x to L.H.S. and 6 to R.H.S., we get
–3x + 2x ≥ 2 – 6 or –x ≥ –4
Multiplying both sides by –1, we get x ≤ 4
∴ The solution is (– ∞, 4].
Transposing –2x to L.H.S. and 6 to R.H.S., we get
–3x + 2x ≥ 2 – 6 or –x ≥ –4
Multiplying both sides by –1, we get x ≤ 4
∴ The solution is (– ∞, 4].
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