65. Figure 1 Figure 1 shows a sketch of the curve with equation The curve crosses the at = 1 and = and the line = is an asymptote of the x-axis x x x –1 –2 curve. (a) Use algebra to solve the equation (6) (b) or otherwise, find the set of values of for which x (3) [FP1 January 2007 Qn 5] 68. Find the set of values of for which x < . (7) [FP1 June 2007 Qn 1] (a) Simplify the expression (3x 5), giving your answer in the form , where , and are 77. a b c – – integers. (4) (b) Hence, or otherwise, solve the inequality > 3x 5. – (4) [FP1 January 2008 Qn 3]
65. Figure 1 Figure 1 shows a sketch of the curve with equation The curve crosses the x-axis at x = 1 and x = –1 and the line x = –2 is an asymptote of the curve. (a) Use algebra to solve the equation (6) (b) or otherwise, find the set of values of x for which (3) [FP1 January 2007 Qn 5] 68. Find the set of values of x for which < . (7) [FP1 June 2007 Qn 1] 77. (a) Simplify the expression – (3x – 5), giving your answer in the form , where a , b and c are integers. (4) (b) Hence, or otherwise, solve the inequality > 3x – 5. (4) [FP1 January 2008 Qn 3]
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