Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: rcises 1. Solve each rational equation. Be sure to check for extraneous solutions. x =3 5x + 4 3x − 1 (b) 2 =1 x +1 1 1 x2 − 3 (c) + =2 x+3 x−3 x −9 2x + 17 =x+5 x+1 x2 − 2x + 1 (e) 3 =1 x + x2 − 2x −x3 + 4x (f) = 4x x2 − 9 (a) (d) 2. Solve each rational inequality. Express your answer using interval notation. (a) (b) (c) (d) (e) (n) 1 ≥0 x+2 x−3 ≤0 x+2 x >0 2−1 x 4x ≤0 x2 + 4 4x ≥0 2−4 x (f) x2 − x − 12 >0 x2 + x − 6 (j) 3x − 1 ≤1 x2 + 1 (g) 3x2 − 5x − 2 <0 x2 − 9 (k) 2x + 17 >x+5 x+1 (h) x3 + 2 x2 + x ≥0 x2 − x − 2 (l) −x3 + 4x ≥ 4x x2 − 9 (i) x2 + 5 x + 6 >0 x2 − 1 (m) x4 − 4x3 + x2 − 2x − 15 ≥x x3 − 4x2 (o) x2 1 <0 +1 5x3 − 12x2 + 9x + 10 ≥ 3x − 1 x2 − 1 3. Another Classic Problem: A can is made in the shape of a right circular cylinder and is to hold one pint. (For dry goods, one pint is equal to 33.6 cubic inches.)8 (a) Find an expression for the volume V of the can based on the height h...
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