Matematika

Pertanyaan

pertidaksamaan 2x-3 ≤ 4x+5 < x+47 dipenuhi oleh...
a. -4 ≤ x ≤ 14
b. -4 < x < 14
c. 4 ≤ x ≤ 14
d. x < 4 atau x > 14
e. x ≤ 4 atau x > 14

1 Jawaban

  • 2x - 3 ≤ 4x + 5 < x + 47
    1) 2x - 3 ≤ 4x + 5
    2x - 4x ≤ 5 + 3
    -2x ≤ 8
    2x ≥ -8
    x ≥ -4

    2) 2x - 3 < x + 47
    2x - x < 47 + 3
    x < 50

    3) 4x + 5 < x + 47
    4x - x < 47 - 5
    3x < 42
    x < 14

    Garis bilangan
    ....... [-4] xxxxxxxxxxxxxxxxxxxxxx
    xxxxxxxxxxxxxxxxxxxx (50) .........
    xxxxxxxxxxxxxx (14) ......................
    -4 ≤ x < 14

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