Question

941. Решите неравенство: 1) x-3 < 11; 2)-3 y 4; S 3) x + 5> -3; 4) 2y < y +8; 5) 11x + 2; 6) 3y > 5у + 4. помогите пожалуйста мне очень нужно​

Answer 1

1) x - 3 ≤ 11

x ≤ 11 + 3

x ≤ 14

Ответ: (-∞ ; 14]

2) - 3 < y - 4

- y < - 4+3

- y < - 1

y > 1

Ответ: (1 ; +∞)

3) x + 5 > - 3

x > - 3 - 5

x > - 8

Ответ: (-8 ; +∞)

4) 2y ≤ y + 8

2y - y ≤ 8

y ≤ 8

Ответ: (-∞ ; 8]

5) 11 ≥ x + 2

- x ≥ 2 - 11

- x ≥ - 9

x ≤ 9

Ответ: (-∞ ; 9]

6) 3y > 5y + 4

3y - 5y > 4

-2y > 4

y < - 2

Ответ: (-∞ ; -2)

Answer 2

Пошаговое объяснение:

х - 3 < 11

х < 11 + 3

х < 14

х Є (-∞; 14)

х + 5 > -3

х > -3 - 5

х > -8

х Є (-8; +∞)

2у < у + 8

2у - у < 8

у < 8

х Є (-∞; 8)

3у > 5у + 4

3у - 5у > 4

-2у > 4

у < 4 : (-2)

у < -2

у Є (-∞; -2)

Answer 3

1. x - 3 < 11:

To solve this inequality, we'll isolate the variable x.

x - 3 < 11 x < 11 + 3 x < 14

Therefore, the solution for this inequality is x < 14.

2. -3y < 4:

To solve this inequality, we'll divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign must be flipped.

-3y < 4 y > 4/-3 (flipping the inequality sign) y > -4/3

Therefore, the solution for this inequality is y > -4/3.

3. x + 5 > -3:

To solve this inequality, we'll isolate the variable x.

x + 5 > -3 x > -3 - 5 x > -8

Therefore, the solution for this inequality is x > -8.

4. 2y < y + 8:

To solve this inequality, we'll isolate the variable y.

2y < y + 8 2y - y < 8 y < 8

Therefore, the solution for this inequality is y < 8.

5. 11x + 2:

The inequality is incomplete as there is no inequality symbol. Please provide the complete inequality.

6. 3y > 5y + 4:

To solve this inequality, we'll isolate the variable y.

3y > 5y + 4 3y - 5y > 4 -2y > 4 y < 4/-2 (flipping the inequality sign) y < -2

Therefore, the solution for this inequality is y < -2.