|x-3|=2x-1 solve for x
Answers
Answered by
1
Step-by-step explanation:
The inequality is
∣x+3∣>∣2x−1∣
∣x+3∣−∣2x−1∣>0
Case (1)
For −∞<x<−3 , inequality is
−(x+3)−{−(2x−1)}>0
−x−3+2x−1>0
x−4>0
x>4
But we considered −∞<x<−3
so there is no solution in this case.
Case (2)
For −3≤x<
2
1
(x+3)+(2x−1)>0
3x+2>0
x>−
3
2
so inequality is true for −
3
2
<x<
2
1
so x=0 is an integral solution.
Case (3)
For
2
1
≤x<∞
(x+3)−(2x−1)>0
x+3−2x+1>0
−x+4>0
x<4
so inequality is true for
2
1
≤x<4
x=1,2,3 are the integral solution.
So 4 integral solutions exists for given inequality.
Answered by
0
Answer:
x=2
Step-by-step explanation:
(x-2x)= -1+3
x=2
if it is wrong pls don't report i tried ...
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