$\rightarrow $ If we try to decrease 7-x to a minimum then x+3 will increase and vice versa since x has opposite sign in both case.
$\rightarrow $ As a result the higher value among 7-x and x+3 will be selected.
$\rightarrow $ So in order to cancel this effect both values should become same at some point and that should be the required answer.
$\rightarrow $ 7-x = x+3 => 2x = 4 => x=2.
$\because$ x=2 comes in the range 2≤x<6
$\therefore$ Option C is the correct answer.