Tamil Nadu Board of Secondary EducationHSC Arts Class 11

Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line - Mathematics

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Graph

Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line

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Solution

−3|x| + 5 ≤ −2 

⇒ −3|x| ≤ – 2 – 5 (= − 7)

− 3|x| ≤ – 7

⇒ 3|x| ≥ 7

⇒ `x ≤  7/3`

or

⇒ `x ≥ 7/3`

(i.e.) `x ∈ (- ∞, - 7/3] ∪ [7/3, ∞,)`

Concept: Absolute Value
  Is there an error in this question or solution?
Chapter 2: Basic Algebra - Exercise 2.2 [Page 57]

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