Matematika

Pertanyaan

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1 Jawaban

  • 1.Ix-4I<6
    (x-4)²<6²
    x²-8x+16<36
    x²-8x+16-36<0
    x²-8x-20<0
    (x+2)(x-10)
    x=-2. x=10.
    hp={xI-2<x<10}

    2.Ix+3I>_7
    (x+3)²>_7²
    x²+6x+9>_49
    x²+6x+9-49>_0
    x²+6x-40>_0
    (x+10)(x-4)
    x=-10. x=4
    hp={xIx_<-10ataux>_4}

    3.I3-xI<5
    (3-x) ²<5²
    9-6x+x²<25
    9-25-6x+x²<0
    x²-6x-16<0
    (x-2)(x+8)
    x=2. x=-8.
    Hp={xI-8<x<2}

    4.I2-xI>1
    (2-x)²>1²
    4-4x+x²>1
    4-1-4x+x²>0
    x²-4x+3>0
    (x-1)(x-3)
    x=1. x=3
    Hp={xIx<1ataux>3}
    5.I2x-1I<_7
    (2x-1)²<_7²
    4x²-4x+1<_49
    4x²-4x+1-49<_0
    4x²-4x-48<_0
    (2x-8)(2x+6)
    2x=8. 2x=-6
    x=4. x=-3
    Hp={xI-3_<x_<4}
    Gambar lampiran jawaban fakhrinaufal28