Question

ayudaaa xfiiis <:"3
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Answer 1

Verified answer

Respuesta:

Espero te ayude :)

Explicación paso a paso:

1. | x - 5 | ≤ 3

  x - 5 ≤ 3, x - 5 ≥ 0

   - ( x - 5 ) ≤ 3, x - 5 < 0

    x ≤ 8, x ≥ 5

    x ≥ 2, x < 5

    x ∈ [ 5, 8 ]

    x ∈ [ 2, 5 ]

    x ∈ [ 2, 8 ]

2. | 3x - 7 | < 5

   3x - 7 < 5, 3x - 7 ≥ 0

   - ( 3x - 7 ) < 5, 3x - 7 < 0

    x > 4, x ≥ 7/3

    x > 2/3, x < 7/3

    x > 2/3, x < 7/3

    x ∈ [ 7/3, 4 ]

    x ∈ [ 2/3, 7/3 ]

    x ∈ [ 2/3, 7/3 ]

    x ∈ [ 2/3, 4 ]

3. | x - 5 | > 3

   x - 5 > 3, x - 5 ≥ 0

   - ( x - 5 ) > 3, x - 5 < 0

    x > 8, x ≥ 5

    x < 2, x < 5

    x ∈ [ 8, + ∞]

    x ∈ [ - ∞, 2 ]

    x ∈ [ - ∞, 2 ]

    x ∈ [ - ∞, 2 ] ∪ [ 8, + ∞ ]

4. | 3x - 1 1 | > 2x

   | 3x - 1 | - 2x > 0

   3x - 1 1 2x > 0, 3x - 1 ≥ 0

    - ( 3x - 1 ) - 2x > 0, 3x - 1 < 0

    x > 1, x ≥ 1/3

    x < 1/5, x < 1/3

    x ∈ [ 1, + ∞ ]

    x ∈ [ - ∞. 1/5 ]

   x ∈ [ - ∞, 1/5 ] ∪ [ 1, + ∞]

5. | x - 1 | > 2x

   | x - 1 | - 2x > 0

   x - 1 - 2x > 0, x - 1 ≥ 0

   - ( x - 1 ) - 2x > 0, x - 1 < 0

    x < - 1, x ≥ 1

    x < 1/3, x < 1

    x ∈ Ф

    x ∈ [ - ∞, 1/3 ]

    x ∈ [ - ∞, 1/3 ]

    x < 1/3