Pregunta
II. Graph and construct a sign chart for the following rational inequalities.
Solution:
Solution:
Ask by Harmon Ramos. in the Philippines
Dec 08,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solution to the inequality
is
.
Solución

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Como
Beyond the Answer
To graph and construct a sign chart for the inequality
, first, factor the numerator:
. The critical points to consider are derived from both the numerator and denominator:
. These points divide the number line into intervals:
,
,
, and
. Testing values from each interval will tell you where the expression is positive or negative.
Assuming you test
and
:
- For
: positive. - For
: negative. - For
: positive. - For
: positive.
The sign chart shows which intervals satisfy the inequality, so we conclude that
is true for the intervals
,
, and
.
Let’s not forget that
is an excluded point, as the inequality does not hold where the expression is undefined!

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