Pregunta
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Graph the inequality on a number line. \( \begin{array}{lll}\text { 25. } a>4 & \text { 26. } n \geq 8 & \text { 27. } 3 \geq x\end{array} \)

Ask by O'Quinn Grant. in the United States
Mar 13,2025

Solución de inteligencia artificial de Upstudy

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1. **\(a>4\)** - Draw a number line. - Place an open circle at \(4\). - Shade the area to the right of \(4\). 2. **\(n\geq8\)** - Draw a number line. - Place a closed circle at \(8\). - Shade the area to the right of \(8\). 3. **\(3\geq x\)** - Draw a number line. - Place a closed circle at \(3\). - Shade the area to the left of \(3\).

Solución

1. **\(a>4\)** - Draw a number line. - Mark the point \(a=4\) with an *open circle* since \(4\) is not included. - Shade the region to the right of \(4\) since \(a\) is greater than \(4\). 2. **\(n\geq8\)** - Draw a number line. - Mark the point \(n=8\) with a *closed circle* because \(8\) is included. - Shade the region to the right of \(8\) since \(n\) is greater than or equal to \(8\). 3. **\(3\geq x\)** - First, rewrite the inequality as \(x\leq3\) for clarity. - Draw a number line. - Mark the point \(x=3\) with a *closed circle* because \(3\) is included. - Shade the region to the left of \(3\) since \(x\) is less than or equal to \(3\).

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Mind Expander

To graph the inequality \( a > 4 \), draw a number line and place an open circle at 4 to indicate that 4 is not included. Then shade to the right of 4, showing that all numbers greater than 4 are solutions. For \( n \geq 8 \), place a closed circle on 8 to include it as a solution. Then shade to the right from 8, indicating that all numbers greater than or equal to 8 satisfy this inequality. For \( 3 \geq x \), place a closed circle at 3 to signify that 3 is included in the solution. Shade to the left of 3 to indicate all numbers less than or equal to 3 are included. Happy graphing! 🤗

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