solve-x-3-3x-2-1-

Question Number 24663 by NECx last updated on 24/Nov/17

s o l v e ∣ x - 3 ∣=∣ 3 x + 2 ∣ - 1

Answered by ajfour last updated on 24/Nov/17

C a s e I : x < - \frac{2}{3}, t h e n

3 - x = - 3 x - 2 - 1

o r 2 x = - 6

\Rightarrow x = - 3

C a s e I I : - \frac{2}{3} < x < 3

3 - x = 3 x + 2 - 1

o r 4 x = 2

\Rightarrow x = \frac{1}{2} .

C a s e I I I : x > 3

x - 3 = 3 x + 2 - 1

o r 2 x = - 4 \Rightarrow x = - 2

b u t t h i s i s n o t w i t h i n c o n s i d e r e d

i n t e r v a l s o g e t s r e j e c t e d .

S o f i n a l l y x = - 3, \frac{1}{2} .

Commented by NECx last updated on 25/Nov/17

t h a n k s b o s s

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