(Q7) Solve the inequality graphically.
3^-x > 6^-x

Answer:
C
Step-by-step explanation:
We will graph [tex]3^{-x}[/tex] and [tex]6^{-x}[/tex] and find WHERE in the x-axis, [tex]3^{-x}[/tex] is greater than [tex]6^{-x}[/tex].
Attached is the graph of both the functions. RED color graph is of [tex]3^{-x}[/tex] and BLUE color graph is of [tex]6^{-x}[/tex].
So, WHICH WHERE IN X-AXIS IS THE RED GRAPH "ABOVE" THE BLUE GRAPH?
We can clearly see that this occurs when x > 0.
Hence, C is the correct answer.