Q. 23 Solve the inequality algebraical... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 4: Q. 23 (page 241)

Solve the inequality algebraically
$2 x^{3} > - 8 x^{2}$

Short Answer

Expert verified

Required solution set is $(- 4, 0) 鈭� (0, 鈭�)$ .

Step by step solution

Step 1. Given information

We are given an inequality,

$2 x^{3} > - 8 x^{2}$

Step 2.Finding the zeros

The zeros is given by,

$2 x^{3} = - 8 x^{2} 2 x^{3} + 8 x^{2} = 0 2 x^{2} (x + 4) = 0 2 x^{2} = 0 x = 0 x + 4 = 0 x = - 4$

So, the intervals will be,

$(- 鈭�, - 4), (- 4, 0), and (0, 鈭�)$

Step 4. Selecting a test number in each interval

The table is as follows,

Interval	$(- 鈭�, - 4)$	$(- 4, 0)$	$(0, 鈭�)$
Chosen Number	$- 5$	$- 1$	$1$
Value of Function	$f (- 5) = - 50$	$f (- 1) = 6$	$f (1) = 10$
Check	Negative	Positive	Positive

Hence the solution set is localid="1646304433911" $(- 4, 0) 鈭� (0, 鈭�)$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Solve the inequality algebraically
$2 x^{3} > - 8 x^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2.Finding the zeros

Step 4. Selecting a test number in each interval

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

91影视

Solve the inequality algebraically2x3>-8x2

Short Answer

Step by step solution

Step 1. Given information

Step 2.Finding the zeros

Step 4. Selecting a test number in each interval

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve the inequality algebraically
$2 x^{3} > - 8 x^{2}$