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CoralliJustin
1 < x < 11, because the graph tells us our number is between 1 and 11 which both have to be an absolute value as they are positive and everything inbetween.
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The absolute value inequality which illustrates the information on the number line is 1 ≤ X ≤ 11

  • The use of thick shaded dots on a number line represents the ≤ or ≥ notation.

  • The value of X could be any value in between the dotted point. This means the value could be any value between 1 and 11 (With 1 and 11 inclusive).

  • Since, the we have a shaded dot, then 1 ≤ X ; similarly X ≤ 11.

  • Combining the two conditions ; we obtain 1 ≤ X ≤ 11.

Therefore, the expression depicted by the absolute value graph is 1 ≤ X ≤ 11

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