NCERT Class XI Mathematics - Linear Inequalities - Solutions
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Question : 60
Total: 65
3x – 7 > 2(x – 6), 6 – x > 11 – 2x
Solution:
(i) 3x – 7 > 2(x – 6) or 3x – 7 > 2x – 12
⇒ 3x – 2x > –12 + 7
⇒ x > –5
(ii) 6 – x > 11 – 2x
⇒ –x + 2x > 11 – 6
⇒ x > 5
From (i) and (ii), we get
x > 5 satisfies both the inequalities x > –5 and x > 5.
∴ Solution is (5, ∞)
⇒ 3x – 2x > –12 + 7
⇒ x > –5
(ii) 6 – x > 11 – 2x
⇒ –x + 2x > 11 – 6
⇒ x > 5
From (i) and (ii), we get
x > 5 satisfies both the inequalities x > –5 and x > 5.
∴ Solution is (5, ∞)
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