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Question

If (x+2),3,5 are the lengths of sides of a triangle, then x lies in

A
(0,6)
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B
(4,6)
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C
(1,6)
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D
(1,6)
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Solution

The correct option is A (0,6)
We know that the sum of any two sides of a triangle is always greater than the third side.
I.(x+2)+3>5
x>0

II.(x+2)+5>3
x>4

III.3+5>(x+2)
x<6

Taking intersection of the three cases, we get
x(0,6)

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