1.

Solution set of the inequality 3≥x is: *

Answer»

Answer:

GIVEN, ∣X∣+∣x−3∣>3

For x<0 , we have −x+3−x>3 , which implies x<0

For 03 , which implies 3>3 (FALSE)

For x>3 , we have x+x−3>3 , which implies x>3

Therefore, the values of x are x>3 and x<0.

Step-by-step EXPLANATION:

Given, ∣x∣+∣x−3∣>3

For x<0 , we have −x+3−x>3 , which implies x<0

For 03 , which implies 3>3 (false)

For x>3 , we have x+x−3>3 , which implies x>3

Therefore, the values of x are x>3 and x<0.


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