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Problem Solving (PS) | Re: What values of x will satisfy the following inequality? |x-3|> |x|-3

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Kinshook wrote:

Asked: What values of x will satisfy the following inequality?\(|x-3|> |x|-3\)
Case 1: x<0
3 - x > -x - 3
3 > -3 
ALWAYS TRUE

Case 2: 0<=x<=3
3-x > x-3
x < 3
ALWAYS TRUE

Case 3: x>3
x-3 > x -3
Not feasible since x -3 = x - 3

x∈ (-∞, 3)

IMO A
­

At x=3 both sides of equation becomes equal to zero and hence the the inequality fails

Posted from my mobile device

Statistics : Posted by pradeepbhuyan • on 26 Oct 2019, 10:24 • Replies 8 • Views 2767



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