Question

(3x +5(x-2) < 3-2x,4(5x-1)-21% > 1-3x;!!!!!​

Answer 1

Ответ:

первое выражение............

Answer 2

Let's solve the given inequalities step by step:

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

First, distribute the 5 to the terms inside the parentheses:

3x + 5x - 10 < 3 - 2x

Combine like terms:

8x - 10 < 3 - 2x

Add 2x to both sides:

8x + 2x - 10 < 3

Simplify:

10x - 10 < 3

Add 10 to both sides:

10x - 10 + 10 < 3 + 10

Simplify:

10x < 13

Divide by 10 (since the coefficient of x is 10) and reverse the inequality sign:

x < 13/10

So, the solution to the first inequality is x < 1.3.

2. 4(5x - 1) - 21% > 1 - 3x

Convert the percentage to a decimal:

4(5x - 1) - 0.21 > 1 - 3x

Distribute the 4 to the terms inside the parentheses:

20x - 4 - 0.21 > 1 - 3x

Combine like terms:

20x - 4 - 0.21 > 1 - 3x

Simplify:

20x - 4.21 > 1 - 3x

Add 3x to both sides:

20x + 3x - 4.21 > 1

Simplify:

23x - 4.21 > 1

Add 4.21 to both sides:

23x - 4.21 + 4.21 > 1 + 4.21

Simplify:

23x > 5.21

Divide by 23 (since the coefficient of x is 23):

x > 5.21/23

So, the solution to the second inequality is x > 0.2261 (rounded to four decimal places).

In summary:

1. x < 1.3
2. x > 0.2261