Question 1207693
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On the given interval 2 < x < 4, the function 1/(x-6) is monotonic, so the maximum and minimum values of the function on that interval are at the endpoints of the interval.<br>
x=2; 1/(x-6)=1/(-4)=-1/4<br>
x=4; 1/(x-6)=1/(-2)=-1/2<br>
Note that the function value is less ("more negative") at x=4, so the function value at x=4 is the lower end of the range of function values.<br>
ANSWER: a=-1/2,b=-1/4;<br>
i.e., -1/2 < 1/(x-6) < -1/4<br>