Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

# Solve 2|x + 1| − 6 ≤ 7 and graph the solution set in a number line - Mathematics

Sum

Solve 2|x + 1| − 6 ≤ 7 and graph the solution set in a number line

#### Solution

2|x + 1| − 6 ≤ 7

⇒ 2|x + 1| ≤ 7 + 6 (= 13)

⇒ |x + 1| ≤ 13/2

⇒ x + 1 > (-13)/2
or
x + 1 < 13/2

x + 1 > (-13)/2

⇒ x > (-13)/2 - 1 (= (-15)/2)  ......(1)

x + 1< 13/2

⇒ x < 13/2 - 1 (= 11/2)  .....(2)

From (1) and (2)

(-15)/2 ≤ x ≤ 11/2`

Concept: Absolute Value
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