2 Solve example 2 of rational inequality. You can refer to example 1 for the guided steps Example 1 Example 2 3 -1 3x+1 Rational Inequality 1. Put the rational inequality +1≤0 in general form. AX>0 Q(x) where can be replaced by

Algebra and Trigonometry (MindTap Course List)
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Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 2E
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2. Solve example 2 of rational inequality. You can refer to example 1 for the guen
No
steps
Exаmple 1
5. Select test values in each
interval and subetitute
those values into the
inequality.
Example 2
3x+1
Rational Inequality
X-25-1
x-122
1. Put the rational inequality
in general form.
>0
Note:
Ir the test value makes the
inequality true, then the
entire interval is a solution
to the inequality
If the test value makes the
+1s0
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)
inequality false, then the
entire interval is not a
solution to the inequality.
x- 2
refer to the review section
x +1
for
solving
unlike
X-2
dencminators)
3. Set the numerator and Numerator:
dencminator equal to zero
and solve. The values you
get are called critical Denominator:
6. Use interval notation oa
set notation to write th
final answer.
x+1 =0
x = --1
values.
X- 2 = 0
How do you find the acti
The activity tells you ab
it right. You almost go
x = 2
4. Plot the critical values on a
-1
number line, breaking the
number line into intervals.
Let's check if your an
5. Substitute critical values
to the inequality to
determine if the endpoints
of the intervals in the
hope you enjoyed ans
3.
S-1
x- 2
when x = -1
solution should be
3
included or not.
-1 s-1
(x = -1 is included in
the solution)
Rational equatic
polynomial in tỉ
problems that
equations it ca
machines to c
when x = 2
3
2-2S-1
Let us use the
O 5-1
undefined s-1 X
(x = 2 is not included in
the solution)
solving ration
equation is
Let us solv
thematics
Transcribed Image Text:2. Solve example 2 of rational inequality. You can refer to example 1 for the guen No steps Exаmple 1 5. Select test values in each interval and subetitute those values into the inequality. Example 2 3x+1 Rational Inequality X-25-1 x-122 1. Put the rational inequality in general form. >0 Note: Ir the test value makes the inequality true, then the entire interval is a solution to the inequality If the test value makes the +1s0 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) inequality false, then the entire interval is not a solution to the inequality. x- 2 refer to the review section x +1 for solving unlike X-2 dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you get are called critical Denominator: 6. Use interval notation oa set notation to write th final answer. x+1 =0 x = --1 values. X- 2 = 0 How do you find the acti The activity tells you ab it right. You almost go x = 2 4. Plot the critical values on a -1 number line, breaking the number line into intervals. Let's check if your an 5. Substitute critical values to the inequality to determine if the endpoints of the intervals in the hope you enjoyed ans 3. S-1 x- 2 when x = -1 solution should be 3 included or not. -1 s-1 (x = -1 is included in the solution) Rational equatic polynomial in tỉ problems that equations it ca machines to c when x = 2 3 2-2S-1 Let us use the O 5-1 undefined s-1 X (x = 2 is not included in the solution) solving ration equation is Let us solv thematics
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