Matematika

Pertanyaan

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1 Jawaban

  • (1) √11x-6</= 4
    <=> * 11x-6>0
    <=> 11x>6
    <=> x>6/11

    <=> * 11x-6</= (4)^2
    <=> 11x-6</= 16
    <=> 11x = 16+6
    <=> 11x = 22
    <=> x = 2

    (2) √x^2+4x-12 < 3
    <=> * x^2+4x-12 >/= 0
    <=> (x-2)(x+6) >/= 0
    <=> x >/= 2 atau x >/= -6

    <=> * x^2+4x-12 < (3)^2
    <=> x^2+4x-12 < 9
    <=> x^2+4x-12-9 < 0
    <=> x^2+4x-21 < 0
    <=> (x-3)(x+7) < 0
    <=> x < 3 atau x < -7

    (3) √x^2+2x-3 > √(x+2)^2
    <=> √x^2+2x-3 > √x^2+4x+4

    <=> * x^2+2x-3 >/= 0
    <=> (x-1)(x+3) >/= 0
    <=> x >/= 1 atau x >/= -3

    <=> * x^2+4x+4 >/= 0
    <=> (x+2)(x+2) >/= 0
    <=> x >/= -2

    <=> * x^2+2x-3 > x^2+4x+4
    <=> x^2-x^2+2x-4x-3-4 > 0
    <=> -2x-7 > 0
    <=> -2x > 7
    <=> x < -7/2