12. Solve the inequality below. b. 3x² - 6x9 x² + 7x-8 ≤0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve 12
< Done
12.
It cannot
where the
Solve the inequality below.
b
3x² - 6x - 9
x² + 7x-8
Stories
because
graph
≤0
Send To >
WEn
X
♫
&
Transcribed Image Text:< Done 12. It cannot where the Solve the inequality below. b 3x² - 6x - 9 x² + 7x-8 Stories because graph ≤0 Send To > WEn X ♫ &
Expert Solution
Step 1: Simplification

fraction numerator 3 x squared minus 6 x minus 9 over denominator x squared plus 7 x minus 8 end fraction less or equal than 0
fraction numerator 3 open parentheses x squared minus 2 x minus 3 close parentheses over denominator x squared plus 7 x minus 8 end fraction less or equal than 0

Divide both sides by 3

fraction numerator x squared minus 2 x minus 3 over denominator x squared plus 7 x minus 8 end fraction less or equal than 0
fraction numerator x squared minus 3 x plus x minus 3 over denominator x squared plus 8 x minus x minus 8 end fraction less or equal than 0
fraction numerator x open parentheses x minus 3 close parentheses plus 1 open parentheses x minus 3 close parentheses over denominator x open parentheses x plus 8 close parentheses minus 1 open parentheses x plus 8 close parentheses end fraction less or equal than 0
fraction numerator open parentheses x plus 1 close parentheses open parentheses x minus 3 close parentheses over denominator open parentheses x minus 1 close parentheses open parentheses x plus 8 close parentheses end fraction less or equal than 0

The denominator cannot be zero so x not equal to 1 comma thin space x not equal to negative 8

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