Chapter 4: Q. 16 (page 241)

Solve the inequality by using the graph of the function.
Solve $R (x) < 0$ , where $R (x) = \frac{x}{(x - 1) (x + 2)}$

Short Answer

Expert verified

The solution of the inequality is $(- \infty, - 2) \cup (0, 1)$ .

Step by step solution

Step 1. Given Information

We are given a function,

$R (x) = \frac{x}{(x - 1) (x + 2)}$

Step 2. Graphing the function

The graph of the function is as follows,

Step 3. Solution of the inequality

As seen from the graph, $R (x) < 0$ for $(- \infty, - 2) \cup (0, 1)$ .

Hence the solution is $(- \infty, - 2) \cup (0, 1)$ .

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Solve the inequality by using the graph of the function.
Solve $R (x) < 0$ , where $R (x) = \frac{x}{(x - 1) (x + 2)}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graphing the function

Step 3. Solution of the inequality

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Solve the inequality by using the graph of the function.Solve R(x)<0, whereR(x)=x(x-1)(x+2)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graphing the function

Step 3. Solution of the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Geometry

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality by using the graph of the function.
Solve $R (x) < 0$ , where $R (x) = \frac{x}{(x - 1) (x + 2)}$