Question

resolva as inequações

a 7 (x-1) < 5-2x
b 10x - 1 ≤ 4 (x + 1)
c 6x - 3 (4-2 x) > 0
d 2 (x - 3) +3 (x-1) ≤ 36

Answer 1

Olá...

a)

7(x -1) < 5 - 2x

7x - 7 < 5 - 2x

7x + 2x < 5 + 7

9x < 12

x < 12/9 ÷ 3

x < 4/3

Reps.: x ∈ |R / x < 4/3

b)

10x - 1 ≤ 4(x + 1)

10x - 1 ≤ 4x + 4

10x - 4x ≤ 4 + 1

6x ≤ 5

x ≤ 5/6

Resp.: x ∈ |R / x ≤ 5/6

c)

6x - 3(4 - 2x) > 0

6x - 12 + 2x >0

6x + 2x > 12

8x > 12

x > 12/8 ÷ 4

x > 3/2

Resp.: x ∈ |R / x > 3/2

d)

2(x - 3) + 3(x - 1) ≤ 36

2x - 6 + 3x - 3 ≤ 36

2x + 3x ≤ 36 + 3 + 6

5x ≤ 45

x ≤ 45/5

x ≤ 9

Resp.: x ∈ |R / x ≤ 9.

Bons estudos.