Question

Va rog ajutați ma dau coroana ex 17! Exercitiul care este incercuit!

Answer 1

a)

5x - 25 < 0

5x < 25

x < 25 / 5

x < 5

x ∈ {0; 1; 2; 3; 4}

b)

8x-32 ≤ 0

8x ≤ 32

x ≤ 32 / 8

x ≤ 4

x ∈ {0; 1; 2; 3; 4}

c)

-9x + 27 ≥ 0 | · (-1)

9x - 27 ≤ 0

9x ≤ 27

x ≤ 27 / 9

x ≤ 3

x ∈ {0; 1; 2; 3}

d)

6 - x > 0 | · (-1)

-6 + x < 0

x < 6

x ∈ {0; 1; 2; 3; 4; 5}

e)

-5x + 19 > 0 | · (-1)

5x - 19 < 0

5x < 19

x < 19 / 5

x < 3,8

x ∈ {0; 1; 2; 3}

f)

|-6|x -24 ≤ 0

|-6| = 6

6x - 24 ≤ 0

6x ≤ 24

x ≤ 24 / 6

x ≤ 4

x ∈ {0; 1; 2; 3}

g)

√72 - x√8 ≥ 0 | · (-1)

-√72 + x√8 ≤ 0

x√8 ≤ √72

x ≤ √72 / √8

x ≤ √(72/8)

x ≤ √9

x ≤ 3

x ∈ {0; 1; 2; 3}

h)

-3x + 19 > 0 | · (-1)

3x - 19 < 0

3x < 19

x < 19 / 3

x < 6,(3)

x ∈ {0; 1; 2; 3; 4; 5; 6}

i)

x√6 - √30 < 0

x√6 < √30

x < √30 / √6

x < √(30 / 6)

x < √5

√5 ≈ 2,236  (aproximativ)

x ∈ {0; 1; 2}