Question

∣2x-1|/|x-1|great then 2
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Answer 1

Answer:

hope it helps

Step-by-step explanation:

|2x−1|≤x+1  

means that

2x−1≤x+1  

and

−(x+1)≤2x−1.  

Solve the first inequality

2x−1≤x+1  

by subtracting

x−1  

from both sides:

2x−1−(x−1)≤x+1−(x−1)  

⟹2x−1−x+1≤x+1−x+1  

⟹x≤2.  

Solve the second inequality

−(x+1)≤2x−1  

by first adding

x+1  

to both sides and getting

−(x+1)+x+1≤2x−1+x+1  

⟹−x−1+x+1≤3x  

⟹0≤3x.  

Then divide by

3  

to get

03≤3x3  

⟹0≤x.  

Combine the two results and get the answer to the given inequality

0≤x≤2.

Answer 2

Answer:

active

Step-by-step explanation:

2x-1/x-1

2x-1/ x-1 =X+1/X+1 =(2x-1)²

(a-b)²= a²-b² + 2ab

2x²-1²+ 2x 2x 1

4x- 1 + 4x = 1

2>1