Question

Решите неравенства: 1) -2 -2(x - 1) < -7 + 4x - 2) -4(-х - 2) > -6 - 4х 3) -3(5х + 8) > 8 + 5x. 4)-4(3х - 7) > -4 + 4х. 5)-2(4 - х) < -1 - 5x . 6)2(-3x + 4) 5 -5 - 4x 7)3(x + 3) 2 -3 - 2х . 8)-4(-4x - 2) 2 1 + 4x. 9)2(-4 + х) - х < 4 . 10)2(3 + x) - 4x -10 . 11)7(4 + x) + 9x > -9 . 12) 5х-10(3 + х) > -6 . 13)-6(-9 - х) + 4x < 2 . 14)2(8 + x) - 10x 4 . 15)-5(-1 + x) + 3х 2 -7 .

Answer 1

Объяснение:

в деяких завданнях немає знаків,я там написала)

Answer 2

1. -2 - 2(x - 1) < -7 + 4x

Simplifying the expression:

-2 - 2x + 2 < -7 + 4x

Combining like terms:

-2x < 4x - 5

Moving variables to one side:

-2x - 4x < -5

-6x < -5

Dividing both sides by -6 (note that the direction of the inequality changes):

x > -5/(-6)

x > 5/6

The solution to this inequality is x > 5/6.

2. -4(-x - 2) > -6 - 4x

Simplifying the expression:

4x + 8 > -6 - 4x

Combining like terms:

4x + 4x > -6 - 8

8x > -14

Dividing both sides by 8:

x > -14/8

x > -7/4

The solution to this inequality is x > -7/4.

3. -3(5x + 8) > 8 + 5x

Simplifying the expression:

-15x - 24 > 8 + 5x

Combining like terms:

-15x - 5x > 8 + 24

-20x > 32

Dividing both sides by -20 (note that the direction of the inequality changes):

x < 32/(-20)

x < -8/5

The solution to this inequality is x < -8/5.

4. -4(3x - 7) > -4 + 4x

Simplifying the expression:

-12x + 28 > -4 + 4x

Combining like terms:

-12x - 4x > -4 - 28

-16x > -32

Dividing both sides by -16 (note that the direction of the inequality changes):

x < -32/(-16)

x < 2

The solution to this inequality is x < 2.

5. -2(4 - x) < -1 - 5x

Simplifying the expression:

-8 + 2x < -1 - 5x

Combining like terms:

2x + 5x < -1 + 8

7x < 7

Dividing both sides by 7:

x < 1

The solution to this inequality is x < 1.

6. 2(-3x + 4) > 5 - 5 - 4x

Simplifying the expression:

-6x + 8 > -4x

Adding 6x and subtracting 8 from both sides:

-4 > 2x

Dividing both sides by 2 (note that the direction of the inequality changes):

-2 > x

The solution to this inequality is x < -2.

7. 3(x + 3) < 2 - 3 - 2x

Simplifying the expression:

3x + 9 < -1 - 2x

Combining like terms:

3x + 2x < -1 - 9

5x < -10

Dividing both sides by 5:

x < -2

The solution to this inequality is x < -2.

8. -4(-4x - 2) < 1 + 4x

Simplifying the expression:

16x + 8 < 1 + 4x

Subtracting 4x and 8 from both sides:

12x < -7

Dividing both sides by