O POLYNOMIAL AND RATIONAL FUNCTIONS Solving a quadratic inequality Graph the solution to the following inequality on the number line. 2 X x22x Note that you can use the ALEKS graphing_calculator to help get your answer. + + + 2 + 4 5 6 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 7 9 10 ? X

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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O POLYNOMIAL AND RATIONAL FUNCTIONS
Solving a quadratic inequality
Graph the solution to the following inequality on the number line.
2
X
x22x
Note that you can use the ALEKS graphing_calculator to help get your answer.
+
+
+
2
+
4
5
6
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
1
7
9 10
?
X
Transcribed Image Text:O POLYNOMIAL AND RATIONAL FUNCTIONS Solving a quadratic inequality Graph the solution to the following inequality on the number line. 2 X x22x Note that you can use the ALEKS graphing_calculator to help get your answer. + + + 2 + 4 5 6 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 7 9 10 ? X
Expert Solution
Step 1

Solve the given ineqality and compute the solution set of  as follows.

$2х
х
х? — 2х<0
Step 2
Note that, the above inequality is in the form of f(x)<0, where
f(x) x-2x
Solve the equationf(x) = 0
Solve the equation x2x 0 and find the x-intercept point as below
x2-2x 0
x(x-2) 0
x 0 or x 2
That is, x0 and x = 2
Thus, the boundary points are 2 and 0.
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