Question
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Which inequality corresponds to the following graph? \begin{tabular}{cccc|}12 & 13 & 14 & 15 \\ \( x>14 \)\end{tabular} \( x \geq 14 \)

Ask by Bob Joseph. in the United States
Feb 03,2025

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Answer

La desigualdad es \( x > 14 \).

Solution

La desigualdad que corresponde al gráfico mostrado es: \[ x > 14 \] Esto significa que todos los valores de \( x \) que son mayores que 14 satisfacen la desigualdad representada en el gráfico.

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The Deep Dive

The graph you've described indicates that the inequality includes all values greater than 14, represented by an open dot at 14 and shading to the right. This suggests that while 14 is relevant, it is not included in the solution set. Thus, the correct inequality corresponds to \( x > 14 \), indicating that any number greater than 14 satisfies this condition. Common mistakes in interpreting inequalities often involve confusing open and closed intervals. An open dot signifies that the endpoint isn't part of the solution, while a closed dot includes it. Make sure to carefully analyze these symbols when working with inequality graphs!

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