Pregunta
Solve
\( -1
Ask by Murphy Murray. in the United States
Mar 16,2025
Ask by Murphy Murray. in the United States
Mar 16,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solution is \( -2 < x \leq 5 \).
Solución
Given the inequality
\[
-1 < x + 1 \leq 6,
\]
we can solve it in the following steps:
1. **Subtract 1 from all parts of the inequality.**
Subtracting 1 from the left, middle, and right gives:
\[
-1 - 1 < x + 1 - 1 \leq 6 - 1.
\]
2. **Simplify each part.**
This simplifies to:
\[
-2 < x \leq 5.
\]
The solution to the inequality is:
\[
x \in (-2, 5].
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Bonus Knowledge
To solve the compound inequality \( -1 < x + 1 \leq 6 \), we first break it down into two parts: 1. From \( -1 < x + 1 \), we subtract 1 from both sides to get \( -2 < x \) or \( x > -2 \). 2. From \( x + 1 \leq 6 \), we also subtract 1 from both sides to obtain \( x \leq 5 \). Putting it all together, we have the solution: \(-2 < x \leq 5\) This can also be written in interval notation as \((-2, 5]\).

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium