solution of |3-x| = x-3 is???
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This Q is based on concept of modulus .
first of all break modulus.
when, x >3 then,
-(3 - x) = x - 3
-3 + x = x - 3
- 3 = -3
hence , x > 3 for all real value .
when , x≤ 3 then,
(3 - x) = x -3
2x = 6
x = 3
hence, x = 3 is one of solution this case.
now,
solution is
x € { 3 } U ( 3 , ∞)
first of all break modulus.
when, x >3 then,
-(3 - x) = x - 3
-3 + x = x - 3
- 3 = -3
hence , x > 3 for all real value .
when , x≤ 3 then,
(3 - x) = x -3
2x = 6
x = 3
hence, x = 3 is one of solution this case.
now,
solution is
x € { 3 } U ( 3 , ∞)
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