Group Problem 3 1. Use graphing approach to solve the inequality x 2 2 x 8 0 : (a) Graph the function f ( x) x 2 2 x 8 , find and label x-intercepts, shade the solution set on the x-axis; Hint: f ( x ) x 2 2 x 8 x 1 9 ; 2 (b) Write down the solution set using an interval notation; compare your answer with the answer of other group members. (c) Which of the following numbers belong to the solution set? Does your result support or contradict with your answer to part (b)? -10, -5, -4, -2, 0, 1, 2, 3, 100 (d) Write down the solution set to the inequality x 2 2 x 8 0 . 2. (a) Explain why the inequality ( x 4) 2 0 has exactly one solution (you may use graphing approach, but are not required to). (b) What is this solution? (c) Does the inequality ( x 4) 2 0 also have exactly one solution? (d) Which of the following numbers are the solutions of the inequality ( x 4) 2 0 ? -10, -5, 4, -2, 0, 1, 2, 3 3. Explain why the inequality ( x 2) 2 0 has one real number which is not a solution. What is this number? Give examples of numbers which satisfy the inequality. 4. Which is a correct statement? (Justify your answer): (a) The inequality x 2 x 1 0 has no solution; (b) The inequality x 2 x 1 0 has infinitely many solutions