2. Solve example 2 of rational inequality. You can refer to example 1 for the gide steps Example 1 3. S-1 Example 2 3x+1 Rational Inequality X- 2 x-1 22 1. Put the rational inequality in general form. R(x) Q(x) 3 +1s0 X-2 where > can be replaced by <,s and > 2. Write the inequality into a single rational expression on the left side. (You can 3+1(x-2) x-2 x+1 refer to the review section for solving unlike dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you called x +1 = 0 x = --1 critical Denominator: get values. are x-2 = 0 x = 2 4. Plot the critical values on a number line, breaking the number line into intervals. -1 2. 3. 5. Substitute critical values to the inequality to determine if the endpoints 1ーラ S-1 X- 2 when x =-1 3. of the intervals in the solution should be included or not. 1-75-1 S-1 -3 -1 s-1 v (x =-1 is included in the solution) 3.

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...
icon
Related questions
Question
2. Solve example 2 of rational inequality. You can refer to example 1 for the guide
steps
Example 1
Example 2
3x+1
Rational Inequality
x-25-1
5. Select test values
interval and subs
those values into
inequality.
1. Put the rational inequality
in general form.
R(X) > 0
x-2+1s0
Note:
If the test value r
inequality true,
Q(x)
where > can be replaced
by <,s and >
2. Write the inequality into a
single rational expression
on the left side. (You can
entire interval is
to the inequality
If the test value
inequality false
3+ 1(x – 2)
x - 2
entire interval
solution to the
x +1
refer to the review section
unlike
solving
dencminators)
3. Set the numerator and Numerator:
dencminator equal to zero
and solve. The values you
for
x +1 = 0
x = --1
called critical Denominator:
6. Use interva
set notation
final answ
get
values.
are
x-2 = 0
How do you f
x = 2
4. Plot the critical values on a
The activity
it right. You
number line, breaking the
number line into intervals.
+
-1
Let's check
5. Substitute critical values
hope you e
3.
S-1
to the inequality to
determine if the endpoints
x-2
of the intervals in the
when x = -1
solution should be
3
S-1
included or not.
-3S-1
-1 s-1v
(x = -1 is included in
the solution)
Ration
polyno
proble
when x = 2
3
equat
mach
Let u
S-1
S-1
solv
undefined s-1 X
(x = 2 is not included in
the solution)
equ
Le
Transcribed Image Text:2. Solve example 2 of rational inequality. You can refer to example 1 for the guide steps Example 1 Example 2 3x+1 Rational Inequality x-25-1 5. Select test values interval and subs those values into inequality. 1. Put the rational inequality in general form. R(X) > 0 x-2+1s0 Note: If the test value r inequality true, Q(x) where > can be replaced by <,s and > 2. Write the inequality into a single rational expression on the left side. (You can entire interval is to the inequality If the test value inequality false 3+ 1(x – 2) x - 2 entire interval solution to the x +1 refer to the review section unlike solving dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you for x +1 = 0 x = --1 called critical Denominator: 6. Use interva set notation final answ get values. are x-2 = 0 How do you f x = 2 4. Plot the critical values on a The activity it right. You number line, breaking the number line into intervals. + -1 Let's check 5. Substitute critical values hope you e 3. S-1 to the inequality to determine if the endpoints x-2 of the intervals in the when x = -1 solution should be 3 S-1 included or not. -3S-1 -1 s-1v (x = -1 is included in the solution) Ration polyno proble when x = 2 3 equat mach Let u S-1 S-1 solv undefined s-1 X (x = 2 is not included in the solution) equ Le
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning