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Q.

The range of |x−2|+|x−5| is

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a

[2,∞)

b

[3,∞)

c

[4,∞)

d

[5,∞)

answer is B.

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Detailed Solution

f(x)=|x−2|+|x−5| and domain f = RFor x<2,f(x)=2−x+5−x=7−2x>3;For 25,f(x)=x−2+x−5=2x−7>3Range f=[3,∞)0R Range of x-a+x-b is [b-a,∞) =[5-2,∞)=[3,∞)

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