Question

3(x - 1) < x-3,(5(x + 3) > 2x + 3;​

Answer 1

Пошаговое объяснение:

1 х<2 2 х>4 вот это весь ответ поставь лутший

Answer 2

Ответ:

смотрите фото, в котором все записано подробно)

Answer 3

To solve the inequalities:

1. 3(x - 1) < x - 3
2. 5(x + 3) > 2x + 3

You can start by simplifying each inequality and then solving for x.

1. 3(x - 1) < x - 3

First, distribute the 3 on the left side:

3x - 3 < x - 3

Next, subtract x from both sides to isolate the x term:

3x - x - 3 < -3

Simplify further:

2x - 3 < -3

Now, add 3 to both sides to isolate the 2x term:

2x - 3 + 3 < -3 + 3

Simplify:

2x < 0

Finally, divide both sides by 2 to solve for x:

(2x)/2 < 0/2

x < 0

So the solution to the first inequality is x < 0.

2. 5(x + 3) > 2x + 3

First, distribute the 5 on the left side:

5x + 15 > 2x + 3

Next, subtract 2x from both sides to isolate the x term:

5x - 2x + 15 > 3

Simplify further:

3x + 15 > 3

Now, subtract 15 from both sides to isolate the 3x term:

3x + 15 - 15 > 3 - 15

Simplify:

3x > -12

Finally, divide both sides by 3 to solve for x:

(3x)/3 > (-12)/3

x > -4

So the solution to the second inequality is x > -4.

Therefore, the combined solution to the system of inequalities is:

x < 0 and x > -4

These two conditions overlap at x > -4, so the solution is x > -4.