College algebra . Fig. 15. x>-i. Graphically, ox+19>12—x for those values of x for which thegraph of the function 3a!-|-19-12-l-a; = 4a;-f7 lies above the X-axis (Fig. 15). The graph is of great service indetermining the values of x for p.^^ jg which one function of x is greater or less than another function. Thus, to find the range of valuesof X for which 2a!2-3a!-|-8>a!2-l-2a;-l-4, we transpose all terms to one side and have a;2 _ 5 a; -J- 4 > 0. \ - 1 \ / \ / 1 V 1 \ / 4, or a; a; > 1, it is negative; hence, for a; > 4, and a; < 1, while 2a^ — 3x + 8 a; > 1. EXERCISE
College algebra . Fig. 15. x>-i. Graphically, ox+19>12—x for those values of x for which thegraph of the function 3a!-|-19-12-l-a; = 4a;-f7 lies above the X-axis (Fig. 15). The graph is of great service indetermining the values of x for p.^^ jg which one function of x is greater or less than another function. Thus, to find the range of valuesof X for which 2a!2-3a!-|-8>a!2-l-2a;-l-4, we transpose all terms to one side and have a;2 _ 5 a; -J- 4 > 0. \ - 1 \ / \ / 1 V 1 \ / 4, or a; a; > 1, it is negative; hence, for a; > 4, and a; < 1, while 2a^ — 3x + 8 a; > 1. EXERCISES For what values of x do the following inequalities hold ? 1. 7a;-3>32. \x 31 2 >0. X 31 2 > 4 317 x\ 4. x22. X 5. 3>a;2 - 11 a; > 4. 7. (x-5)(a!-2)&g
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectalgebra, bookyear1919
