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Solve the system of inequalities. { 0.8x - 3 ≤ 0 4.1x ≥ 8.2

Solve the system of inequalities.
{ 0.8x - 3 ≤ 0
4.1x ≥ 8.2

Answer

  1. For the inequality 0.8x - 3 ≤ 0:

    Add 3 to both sides:

    0.8x ≤ 3

    Divide both sides by 0.8:

    x ≤ 3.75

  2. For the inequality 4.1x ≥ 8.2:

    Divide both sides by 4.1:

    x ≥ 2

  3. The solution to the system of inequalities is:

    2 ≤ x ≤ 3.75

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