Math, asked by ashishyaadav33, 6 hours ago

|x-3|=2x-1 solve for x

Answers

Answered by Hadiya6430
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 poolapushpalatha9999
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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