Solve the inequality : (0.25)^(x-4)=<(1/16)^x.

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We have to solve: (0.25)^(x-4)=<(1/16)^x

(0.25)^(x-4)=<(1/16)^x

=> (1/4)^(x- 4) =< (1/16)^x

=> (1/4)^(x- 4) =< (1/4)^2x

As (1/4) is less than 1, we have 1/ 4 > (1/4^2)

Similarly, we can say (x- 4) => 2x

=> x - 2x => 4

=> -x => 4

=> x =< -4

Therefore x <= -4.

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