Matematika

Pertanyaan

a. x - 4 > 2x + 5
b. 3m - 4 < m + 2
c. 2a - 6 < 4a + 2
d. 2(x+3) < 7 - x
e. 3(6-x) > 2(x+5)
f. 3(x-1/2) > 5 (x+1)
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2 Jawaban

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  • a) x - 4 > 2x + 5
    x - 2x > 5 + 4
    - x > 9
    x < - 9

    b) 3m - 4 < m + 2
    3m - m < 2 + 4
    2m < 6
    m < 3

    c) 2a - 6 < 4a + 2
    2a - 4a < 2 + 6
    - 2a < 8
    a > - 4

    d) 2 ( x + 3 ) < 7 - x
    2x + 6 < 7 - x
    2x + x < 7 - 6
    3x < 1
    x < ⅓

    e) 3 ( 6 - x ) > 2 ( x + 5 )
    18 - 3x > 2x + 10
    - 3x - 2x > 10 - 18
    - 5x > - 8
    x < 8/5

    f) 3 ( x - ½ ) > 5 ( x + 1 )
    3x - 3/2 > 5x + 5
    3x - 5x > 5 + 3/2
    2x > 10/2 + 3/2
    2x > 13/2
    x > 13/4
    x > 3 ¼

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