Chapter 7: Q. 376 (page 733)

Create a rational inequality whose solution is $(- \infty, - 2] \cup [4, \infty) .$

Short Answer

Expert verified

Solution to the rational function is $(x + 2) (x - 4) \geq 0 .$

Step by step solution

Step 1. Given data

Given that the rational function is $(- \infty, - 2] \cup [4, \infty) .$

Step 2. Rational function

Take x as variable and R(x) be the rational function as $x \in (- \infty, - 2] \cup [4, \infty) .$ It is indicated by closed inequality and R(x) must have numerator.

$R (x) = (x + 2) (x - 4)$

Step 3. Number line

It can be indicated as,

Step 4. Rational inequality

The rational inequality should be $(x + 2) (x - 4) \geq 0 .$

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Create a rational inequality whose solution is $(- \infty, - 2] \cup [4, \infty) .$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Rational function

Step 3. Number line

Step 4. Rational inequality

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Create a rational inequality whose solution is(-∞,-2]∪[4,∞).

Short Answer

Step by step solution

Step 1. Given data

Step 2. Rational function

Step 3. Number line

Step 4. Rational inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Create a rational inequality whose solution is $(- \infty, - 2] \cup [4, \infty) .$