Learning Activity Sheet Rational Functions, Equations, and Inequalities I. Directions: Write EX on the space provided if the given expression is a rational expression, EQ ifa rational equation, or IN if a rational inequality. x+2 1. (3x-5)(x+3) x-4 x²+2x 2. 2x 3x-1 (x+2)(x-4) >2x²+3 x+6 x 4. = x-1 x+2 x²+x-1 5. x+1 II. Directions: Solve the rational equation by following the steps enumerated. x 2 10 + = x-2x+3 x²+x-6 1. Factor the denominators.. 2. Determine the LCD. 3. Identify the restrictions. 4. Multiply both sides of the equation by the LCD. 5. Solve the equation. Show your solution. III. Directions: Answer the following problems. Use a separate sheet of paper if necessary. A. Determine the x-value(s) satisfying the given rational equations. Show your solution for each item and box your final answer. x+5 4 =2 2. 10x-2 5 x-4 -= x-2 7 x+2 B. Determine the solution set for the following rational inequalities. Write your solution for each item and box your final answer. x+5 -<0 x²-4 2 4. x²+3x+2>0 x²-16

Learning Activity Sheet Rational Functions, Equations, and Inequalities I. Directions: Write EX on the space provided if the given expression is a rational expression, EQ ifa rational equation, or IN if a rational inequality. x+2 1. (3x-5)(x+3) x-4 x²+2x 2. 2x 3x-1 (x+2)(x-4) >2x²+3 x+6 x 4. = x-1 x+2 x²+x-1 5. x+1 II. Directions: Solve the rational equation by following the steps enumerated. x 2 10 + = x-2x+3 x²+x-6 1. Factor the denominators.. 2. Determine the LCD. 3. Identify the restrictions. 4. Multiply both sides of the equation by the LCD. 5. Solve the equation. Show your solution. III. Directions: Answer the following problems. Use a separate sheet of paper if necessary. A. Determine the x-value(s) satisfying the given rational equations. Show your solution for each item and box your final answer. x+5 4 =2 2. 10x-2 5 x-4 -= x-2 7 x+2 B. Determine the solution set for the following rational inequalities. Write your solution for each item and box your final answer. x+5 -<0 x²-4 2 4. x²+3x+2>0 x²-16

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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