Question

1) 7x ≥-14: 2) 7x+3≤30-2x 3) 4(x+2) ≥ −(1-2x)​

Answer 1

Ответ:

1) x ≥-2

2) х≤3

3) х ≥ −4,5

Объяснение:

1)

7x ≥-14

Разделим слева и справа на 7

7x/7 ≥-14/7

x ≥-2

2)

7x+3≤30-2x

Все что с иксом перенесем налево, а числа направо

7x+2х≤30-3

9х≤27

Разделим слева и справа на 9

9х/9≤27/9

х≤3

3)

4(x+2) ≥ −(1-2x)​

4x+8 ≥ −1+2x

Опять также, как и в 2)​

4x-2х ≥ −1-8

2х ≥ −9

Разделим слева и справа на 2

2х/2 ≥ −9/2

х ≥ −4,5

Answer 2

Ответ:

1)

$7x \geqslant 14$

Делим обе части неравенства на 7:

$x \geqslant 2$

2)

$7x + 3 \leqslant 30 - 2x$

$7x + 2x \leqslant 30 - 3$

$9x \leqslant 27$

Делим обе части неравенства на 9:

$x \leqslant 3$

3)

$4(x + 2) \geqslant - (1.2x)$

$4x + 8 \geqslant - 1.2x$

$4x + 1.2x \geqslant - 8$

$5.2x \geqslant - 8$

Делим обе части неравенства на 5,2:

$x \geqslant - \frac{20}{13}$

Answer 3

Let's solve each inequality step by step:

1. 7x ≥ -14

To isolate x, we divide both sides of the inequality by 7 (remember to flip the inequality sign when dividing by a negative number):

x ≥ -14/7

Simplifying:

x ≥ -2

So the solution to the inequality is x ≥ -2.

2. 7x + 3 ≤ 30 - 2x

First, let's simplify the equation:

7x + 2x ≤ 30 - 3

Combining like terms:

9x ≤ 27

Next, divide both sides of the inequality by 9:

x ≤ 27/9

Simplifying:

x ≤ 3

Therefore, the solution to the inequality is x ≤ 3.

3. 4(x + 2) ≥ -(1 - 2x)

Let's start by simplifying both sides of the inequality:

4x + 8 ≥ -1 + 2x

Subtracting 2x from both sides:

4x - 2x + 8 ≥ -1

Combining like terms:

2x + 8 ≥ -1

Next, subtract 8 from both sides:

2x + 8 - 8 ≥ -1 - 8

Simplifying:

2x ≥ -9

Finally, divide both sides of the inequality by 2:

x ≥ -9/2

The solution to the inequality is x ≥ -9/2 or x ≥ -4.5.