Pregunta
Write the inequality using interval notation and illustrate the inequality using the real number line.
.
The inequality represents the interval
(Type your answer in interval notation.)
The inequality represents the interval
(Type your answer in interval notation.)
Ask by Chavez Allan. in the United States
Jan 29,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The inequality
is written in interval notation as
. On the real number line, this is shown with a closed circle at -3 and an open circle at 5, shading the line between them.
Solución
The inequality
can be expressed in interval notation as:
Illustration on the Real Number Line:
Below is a representation of the inequality on the real number line:
<----|=========)---->
-3 5
- Closed Circle at -3: Indicates that -3 is included in the interval (
). - Open Circle at 5: Indicates that 5 is not included in the interval (
). - Shaded Line Between -3 and 5: Represents all real numbers x such that
.
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Como
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Beyond the Answer
The inequality
represents the interval
. In this interval, -3 is included (hence the square bracket) and 5 is excluded (hence the parenthesis).
On a real number line, you can depict this as a shaded line segment starting from -3 (with a closed dot) extending to just before 5 (with an open dot). The closed dot on -3 indicates that it is part of the solution, while the open dot on 5 shows that it is not included in the interval.
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