Question

|x-3| + 2 |x+1| = 4

no swap no useless answer
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Answer 1

Answer:

x = -1

Step-by-step explanation:

Given,

|x - 3| + 2|x + 1| = 4

(i)  For x < -1 :

⇒ -(x - 3) + 2(--(x + 1)) = 4

⇒ x = -1 and x < -1

No Solution

(ii) For -1 ≤ x < 3 :

⇒ -1(x - 3)+ 2(x + 1) = 4

⇒ x = -1

(iii) For x ≥ 3:

⇒ x - 3 + 2(x + 1) = 4

⇒ x = 5/3

No solution.

Therefore,

x = -1

Hope it helps!