Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 114593 by abdullahquwatan last updated on 19/Sep/20

((∣x−1∣)/(∣x∣−1)) ≤ 1

∣x−1∣∣x∣−1⩽1

Answered by MJS_new last updated on 19/Sep/20

(1) ∣x∣−1≠0 ⇒ x≠±1 (2) ∣x∣−1<0 ⇒ −1<x<1 ∣x−1∣≥∣x∣−1 true ∀x∈R ⇒ −1<x<1 (3) ∣x∣−1>0 ⇒ x<−1∨x>1 ∣x−1∣≤∣x∣−1 true for x≥1 ⇒ x>1 ⇒ −1<x<1∨x>1

(1)∣x∣−1≠0⇒x≠±1(2)∣x∣−1<0⇒−1<x<1∣x−1∣⩾∣x∣−1true∀x∈R⇒−1<x<1(3)∣x∣−1>0⇒x<−1∨x>1∣x−1∣⩽∣x∣−1trueforx⩾1⇒x>1⇒−1<x<1∨x>1

Commented by abdullahquwatan last updated on 20/Sep/20

thanks sir

thankssir

Terms of Service

Privacy Policy

Contact: info@tinkutara.com