2(x – 1) 2 – x - NCERT Class XI Mathematics

NCERT Class XI Mathematics - Linear Inequalities - Solutions

Question : 59 of 65

Marks: +1, -0

2(x – 1) < x + 5, 3(x + 2) > 2 – x

Solution:

(i) 2(x – 1) < x + 5 or 2x – 2 < x + 5

⇒ 2x – x < 5 + 2 ⇒ x < 7

(ii) 3(x + 2) > 2 – x or 3x + 6 > 2 – x

⇒ 3x + x > 2 – 6

⇒ 4x > –4 ⇒ x > –1

From (i) and (ii), we get

–1 < x < 7

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