Consider the linear functions
ƒ(x) = 3(x - 4) - 2(x - 5)
and g(x) = -2(x + 1) - 3.
(a) Solve ƒ(x) = g(x) analytically, showing all steps. Also, check analytically.
(b) Graph y1 = ƒ(x) and y2 = g(x). Use your result in part (a) to find the solution set of ƒ(x) > g(x). Explain your answer.
(c) Repeat part (b) for ƒ(x) < g(x).
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