Question

0,2(3x - 4) - 1,6 ≥ 0,3(4-3x).​

Answer 1

Ответ:

[2.4;+∞)

Пошаговое объяснение:

1) 0.6х-0.8-1.6≥0.12-0.9х

0.6х+0.9х≥1.2+0.8+1.6

1.5х≥3.6

х≥2.4

Answer 2

To solve the inequality, let's simplify and solve step by step:

0.2(3x - 4) - 1.6 ≥ 0.3(4 - 3x)

Start by distributing the values inside the parentheses:

0.6x - 0.8 - 1.6 ≥ 1.2 - 0.9x

Combine like terms:

0.6x - 2.4 ≥ 1.2 - 0.9x

Now, let's isolate the variable terms on one side and the constant terms on the other side:

0.6x + 0.9x ≥ 1.2 + 2.4

1.5x ≥ 3.6

Divide both sides of the inequality by 1.5 to solve for x:

x ≥ 3.6 / 1.5

x ≥ 2.4

Therefore, the solution to the inequality is x ≥ 2.4.