Pregunta
Solución de tutoría real
Respuesta verificada por el tutor
Responder
All real numbers less than –3 satisfy the inequality \( x < -3 \).
Solución
To solve the inequality:
\[ x + 5 < 2 \]
**Step 1: Subtract 5 from both sides**
\[ x + 5 - 5 < 2 - 5 \]
\[ x < -3 \]
**Solution:**
All real numbers \( x \) that are less than \(-3\) satisfy the inequality.
In interval notation, the solution is:
\[ x \in (-\infty, -3) \]
**Graphical Representation:**
On a number line, this would be represented by an open circle at \(-3\) and shading to the left, indicating all numbers less than \(-3\).
---
**Final Answer:**
All real numbers less than –3 satisfy the inequality. In other words, \( x < −3 \).
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución Extra Insights
To solve the inequality \( x + 5 < 2 \), you need to isolate \( x \). Start by subtracting 5 from both sides, giving you \( x < 2 - 5 \) or \( x < -3 \). This tells you that any number less than -3 will satisfy the inequality. In a real-world context, imagine you're budgeting. If you know you can only spend less than $2 but accidentally included $5 in your spending, you'd need to track your expenses carefully to ensure you don’t go over that limit, meaning you must keep your actual spending at a maximum of $-3 (think of it as needing to be in the negative to avoid overspending)!
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
