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Solve -24 < 2p - 4 ≤ -10. For full points, you must have 3 things: 1. Your solution with step-by-step work....

Solve -24 < 2p - 4 ≤ -10.
For full points, you must have 3 things:
1. Your solution with step-by-step work. (You can submit an image of your work after the test)
2. Your solution in interval notation.
3. A description or picture of your graph (You can submit an image of your work after the test)

Answer

  1. Step-by-step solution:

    Start with the compound inequality: -24 < 2p - 4 ≤ -10

    First, solve the left part: -24 < 2p - 4

    Add 4 to both sides: -20 < 2p

    Divide by 2: -10 < p

    Now, solve the right part: 2p - 4 ≤ -10

    Add 4 to both sides: 2p ≤ -6

    Divide by 2: p ≤ -3

    Combine the results: -10 < p ≤ -3

  2. Interval notation:

    (-10, -3]

  3. Description of the graph:

    The graph is a number line with an open circle at -10 and a closed circle at -3, shading the region in between.

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