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24 July, 13:37

Choose the correct description of the graph of the compound inequality x - 2 > - 4 and 3x less than or equal to 15 A number line with an open circle on - 2, shading to the left, and a closed circle on 5, shading to the right A number line with a closed circle on - 2, shading to the left, and an open circle on 5, shading to the right A number line with an open circle on - 2, a closed circle on 5, and shading in between A number line with a closed circle on - 2, an open circle on 5, and shading in between

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  1. 24 July, 14:06
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    C) A number line with an open circle on - 2, a closed circle on 5, and shading in between

    Step-by-step explanation:

    Remember that the symbols: (read "less than" and "greater than" respectively) translates into an open circle in the number line.

    The symbols: ≤ and ≥ (read "less or equal than" and "Greater or equal than" respectively) translates into a closed circle in the number line.

    Now, let's solve each inequality:

    So we have an open circle on - 2

    3x less than or equal to 15

    So we have a closed circle on 5

    Our inequalities goes from - 2 (open circle) to 5 (closed circle) on the number line.
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