Question
Choose the correct graph for this inequality. \[ x<4 \]
Ask by Deleon Dunn. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
La gráfica correcta para \( x < 4 \) es una línea con un círculo abierto en 4 y sombreado hacia la izquierda hasta 4.
Solution
La gráfica correcta para la desigualdad \( x < 4 \) es una recta numérica donde:
- **Se utiliza un círculo abierto** en el punto \( 4 \) para indicar que \( 4 \) no está incluido en la solución.
- **Se sombrean todos los puntos a la izquierda de \( 4 \)**, representando que \( x \) puede ser cualquier número menor que \( 4 \).
A continuación se muestra una representación gráfica:
```
<---|---|---|---|---|--->
2 3 4 5 6
o--------
```
- El **círculo abierto** en \( 4 \) muestra que \( 4 \) no está incluido.
- La flecha o línea sombreada a la izquierda de \( 4 \) indica todos los valores de \( x \) menores que \( 4 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To represent the inequality \( x < 4 \), you would draw a number line. First, place an open circle at the number 4, indicating that 4 is not included in the solution. Then, shade the line to the left of 4 to show that all values less than 4 are part of the solution. This graph visually represents all the numbers that satisfy the inequality while keeping 4 itself excluded. When sketching this graph, it's essential to avoid using a closed circle at 4, as that would imply that 4 is included in the set of solutions, which contradicts the inequality. Make sure the shading is clear and directed to the left, emphasizing all numbers below 4!
