Question

Resolva as inequações:
ALGUEM ME AJUDA, JA TENTEI FAZER MAIS NAO TO CONSEGUINDO FAZER
a) 3x-7≥2x+5 =

b) 7x+8≤4x-10 =

c) 4x-15≥-2x+3 =

d) 2x-4-8≥4x =

e)3x≤x+1+7 =

f) 360+36x≥30x =

g) 2x+5-5x≥-1 =

h) 5+6x≤5x+2 =

Answer 1

Resposta:

Explicação passo-a-passo:

a) 3x-7=>2x+5(=) 3x-2x=>5+7 (=) x=>12

b)7x+8<=4x-10 (=) 7x-4x<=-10-8 (=) 3x<=-18 (=) x<= -18 /3 (=) x<= -6

c)4x-15=>-2x+3 (=) 4x+2x =>3+15 (=) 6x=> 18 (=) x=>18/6 (=) x=>3

d)2x-4-8=>4x (=) 2x-12=>4x (=) 2x-4x<=12 (=) -2x<=12 (=) 2x=>-12 (=) x=>-12/2 (=) x=>-6

e)3X<= X+1+7 (=) 3X-X<=8 (=) 2X<=8 (=) X<=8/2 (=) X<=4

f) 360+36x=>30x (=) 36x-30x=>-360 (=) 6x =>-360 (=) x=>-360/6 (=) x=>-60

g) 2x+5-5x=>-1(=) -3x=>-1-5 (=) -3x=>-6 (=) 3x<= 6 (=) x<= 6/3 (=) x<=2

h) 5+6x <= 5x+2 (=) 6x-5x <= 2-5 (=) x<= -3

Answer 2

Oi...

a)

3x - 7 ≥ 2x + 5

3x - 2x ≥ 5 + 7

x ≥ 12

x ∈ |R / x ≥ 12

b)

7x + 8 ≤ 4x - 10

7x - 4x ≤ - 10 - 8

3x ≤ - 18

x ≤ - 18/3

x ≤ - 6

x ∈ |R / x ≤ -6

c)

4x - 15 ≥ - 2x + 3

4x + 2x ≥ 3 + 15

6x ≥ 18

x ≥ 18/6

x ≥ 3

x ∈ |R / x ≥ 3

d)

2x - 4 - 8 ≥ 4x

2x - 4x ≥ 8 + 4

- 2x ≥ 12→(× por -1)

2x ≤ - 12

x ≤ - 12/2

x ≤ - 6

x ∈ |R / x ≤ - 6

e)

3x ≤ x + 1 + 7

3x - x ≤ 1 + 7

2x ≤ 8

x ≤ 8/2

x ≤ 4

x ∈ |R / x ≤ 4

f)

360 + 36x ≥ 30x

36x - 30x ≥ 360

6x ≥ 360

x ≥ 360/6

x ≥ 60

x ∈ |R /x ≥ 60

g)

2x + 5 - 5x ≥ - 1

2x - 5x ≥ - 1 - 5

- 3x ≥ - 6 →(× por -1)

3x ≤ 6

x ≤ 6/3

x ≤ 2

x ∈ |R/ x ≤ 2

h)

5 + 6x ≤ 5x + 2

6x - 5x ≤ 2 - 5

x ≤ - 3

x ∈ |R / x ≤ - 3

Espero ter ajudado.