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Solve x + 7 ≤ 3x - 23. For full points, you must have 3 things: 1. Your solution with step-by-step work....

Solve x + 7 ≤ 3x - 23.
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 inequality: x + 7 ≤ 3x - 23

    Subtract x from both sides: 7 ≤ 2x - 23

    Add 23 to both sides: 30 ≤ 2x

    Divide both sides by 2: 15 ≤ x

    Thus, the solution is x ≥ 15.

  2. Solution in interval notation:

    [15, ∞)

  3. Description of the graph:

    The graph is a number line with a closed circle at 15 and shading to the right, indicating all numbers greater than or equal to 15.

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