If the real number x satisfying the inequality 2x-1
Khalid salim attar , 3 Years ago
Grade 12
Algebra> If the real number x satisfying the inequ...
1 Answers
Ankit Sharma
Last Activity: 3 Years ago
Given: |2x-1| 
X+1
Firstly break the modulus at its breaking point.
2x-1=0
X=1/2.
NOW,
For, X 
1/2, 2X-1 is a negative so, modulus open with negative sign,equation is like that,
-2x+1
X+1
On solving we get, X
0
Taking intersection with Above applied conditions we get 0 X1/2 .... (eqn 1)
Now, similarly for X ½
Modules opens with +sign.
So we get here X 2
AGAIN Taking intersection with just above applied condition
We get 1/2 X 2 ...... (eqn 2)
Now take union of above two equation
We get 0 X2 and this is final answer
Alternative approach :::
Just draw graph of above functions then judge.
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