Matematika

Pertanyaan

1. 2(x - 3) < 4(x - 2) =
2. -2 ≤ x + 3 ≤ 5 =
3. 2x/3 - 1/3 > 3x/4 =
4. 4(y - 5) < 2(4 - 3y) + 2 =
5. 7y > 5y + 4 =




1 Jawaban

  • 1.]
    2(x - 3) < 4(x - 2) [bagi 2 kedua ruas]
    x - 3 < 2x - 4
    1 < x
    x > 1

    HP : {x | x > 1 , x ∈ R}

    2.]
    -2 ≤ x + 3 ≤ 5
    -2 - 3 ≤ x + 3 - 3 ≤ 5 - 3
    -1 ≤ x ≤ 2

    HP : {x | -1 ≤ x ≤ 2 , x ∈ R}

    3.]
    ⅔ x - ⅓ > ¾ x [ × 12 kedua ruas ]
    8x - 4 > 9x
    -4 > x
    x < -4

    HP : {x | x < -4 , x ∈ R}

    4.]
    4(y - 5) < 2(4 - 3y) + 2 [bagi 2 kedua ruas]
    2y - 10 < 4 - 3y + 1
    5y < 15
    y < 3

    HP : {y | y < 3 , y ∈ R}

    5.]
    7y > 5y + 4
    2y > 4
    y > 2

    HP : {y | y > 2 , y ∈ R}

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