Ajuda matemática inequaçao!!!!?

a)x-2>10

b3+2>-7

c)5x+1>3x-15

d)2y-12>5y+3

e)9x-8>=7x+4

f)10-5x<=-20

g)4x+1>5x-13

h)2.(3x-4)>3(x-11)

i)3.(x-2)-(x+1)<=1.(3x+5)

j)7x-2(x+1)<10-3(x-2)

k)3(x+2)>2(2x+4)

l)x+5(x-1)<=4+3(x+7)

Comments

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  • a)x-2>10

    x > 10 + 2

    x > 12

    b)3+2>-7

    se for 3x

    3x > -7 - 2

    3x > -9

    c)5x+1>3x-15

    5x - 3x > -15 -1

    2x > -16

    x > -8

    d)2y-12>5y+3

    2y - 5y > 3 + 12

    -3y > 15

    -y > 5 (.-1)

    y < 5 [muda o sinal, pois multiplicou por -1]

    e)9x-8>=7x+4

    9x - 7x >= 4 + 8

    2x >= 12

    x >= 6

    f)10-5x<=-20

    -5x <= -20-10

    -5x <= -30

    -x <= -6

    x >= 6

    g)4x+1>5x-13

    4x - 5x > -13 - 1

    -x > -14

    x < 14

    h)2.(3x-4)>3(x-11)

    6x - 8 > 3x - 11

    6x - 3x > -11 + 8

    3x > -3

    x > -1

    i)3.(x-2)-(x+1)<=1.(3x+5)

    3x - 6 - x - 1 <= 3x + 5

    3x - x - 3x <= 5 + 1+6

    -x <= 12

    x >= -12

    j)7x-2(x+1)<10-3(x-2)

    7x - 2x - 2 < 10 -3x + 6

    7x - 2x + 3x < 10 + 6 + 2

    8x < 18

    x < 6/4

    k)3(x+2)>2(2x+4)

    3x + 6 > 4x + 8

    3x - 4x > 8 - 6

    -x > 2

    x < 2

    l)x+5(x-1)<=4+3(x+7)

    x² - x + 5x - 5 <= 4 + 3x + 21

    x² - x + 5x - 3x - 5 - 4 - 21 <=0

    x² + x - 30 <= 0

    (x + 6)(x -5) <=0

    x <= 6

    x <= 5

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