Question

Resolva as Inequações, sendo U=Q, por favor !! Pra hoje, valendo 100 pontos.

Answer 1

item b)

4 - 4x + 3 ≤ 4x - 8

-4x +7 ≤ 4x - 8

7 + 8 ≤ 4x + 4x

8x ≥ 15

x ≥ 15/8

S = {x ∈ Q; x ≥ 15/8}

item c)

3x + 3 + 4x + 8 < 2 - 2x

7x + 11 < 2 - 2x

7x + 2x < 2 - 11

9x < -9

x < -1

S = {x ∈ Q; x < -1}

item d)

3x + 15 -2 + 6x ≥ 4 + 4x - 2

9x +13 ≥ 4x + 2

9x - 4x ≥ 2 - 13

5x ≥ -11

x ≥ -11/5

S = {x ∈ Q; x ≥ -11/5}

item e)

x + 4 -x +7 ≥ 2x -3

11 ≥ 2x - 3

2x - 3 ≤ 11

2x ≤ 11 + 3

2x ≤ 14

x ≤ 7

S = {x ∈ Q; x ≤ 7}

item f)

5 - 5x + 3x +6 < x - 4

-2x +11 < x - 4

11 + 4 < x + 2x

3x > 15

x > 5

S = {x ∈ Q; x > 5}

Answer 2

b)

4 - 4x + 3 ≤ 4x - 8

-4x +7 ≤ 4x - 8

7 + 8 ≤ 4x + 4x

8x ≥ 15

x ≥ 15/8

S = {x ∈ Q; x ≥ 15/8}

c)

3x + 3 + 4x + 8 < 2 - 2x

7x + 11 < 2 - 2x

7x + 2x < 2 - 11

9x < -9

x < -1

S = {x ∈ Q; x < -1}

d)

3x + 15 -2 + 6x ≥ 4 + 4x - 2

9x +13 ≥ 4x + 2

9x - 4x ≥ 2 - 13

5x ≥ -11

x ≥ -11/5

S = {x ∈ Q; x ≥ -11/5}

e)

x + 4 -x +7 ≥ 2x -3

11 ≥ 2x - 3

2x - 3 ≤ 11

2x ≤ 11 + 3

2x ≤ 14

x ≤ 7

S = {x ∈ Q; x ≤ 7}

f)

5 - 5x + 3x +6 < x - 4

-2x +11 < x - 4

11 + 4 < x + 2x

3x > 15

x > 5

S = {x ∈ Q; x > 5}