Question

(6х-4)×15≥(5х-4)×18решите неравенство

Answer 1

(6х-4)*15 $\geq$ (5х-4)*18

Одз х - любое

поделим обе части на 3:

(6х-4)*5 $\geq$ (5х-4)*6

Раскрываем скобки и получаем что:

4 $\geq$ 0

Такое неравенство выполняется всегда

Ответ: x∈R

Answer 2

To solve the inequality, we'll start by simplifying both sides of the equation step by step. Here's the process:

1. Simplify the left side of the inequality: (6x - 4) × 15 = 90x - 60

2. Simplify the right side of the inequality: (5x - 4) × 18 = 90x - 72

Now the inequality becomes: 90x - 60 ≥ 90x - 72

To solve for x, we'll isolate the x term on one side of the inequality. However, notice that both sides of the inequality have a term with 90x, and they are equal to each other.

90x - 60 = 90x - 72

Since both terms with 90x are equal, the constant terms on both sides (in this case, -60 and -72) must be equal as well. So, we can set them equal to each other:

-60 = -72

This equation is not true for any value of x. In fact, it leads to a contradiction. Therefore, the original inequality has no solution. In other words, there is no value of x that satisfies the inequality (6x - 4) × 15 ≥ (5x - 4) × 18.