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8. Solve each inequality without using technology. Illustrate the solution on a number line. Check your solutions using technology. a) 3 x + 5

8. Solve each inequality without using technology. Illustrate the solution on a number line. Check your solutions using technology. a) 3 x + 5 < < 2 x-x-20 4x - 12 x2 y >0 2 b) 2 d) 3 x + 2 x x+5 S 7 9. Angle x lies in the third quadrant, and tanx = 24 a) Determine an exact value for cos 2x. b) Determine an exact value for sin 2x. 10. Prove that (sin 2x) (tanx + cotx) = 2. 4 x + 3 11. Model the graph shown using a cosine function. x-1 x + 7 a) From the graph, determine the amplitude, the vertical translation, the phase shift, and the period. b) Write an equation for the function.

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