Question

2.4(2x-3)-1.8x‹0.5(6+3x)​

Answer 1

Ответ:

4,8x-7,2-1.8x<3+1,5x

4.8x-1.5x-1.8x<3+7.2

1.5x<10.2

x<6.8

Ответ (от минус бесконечности; 6,8)

Answer 2

I can help you with your math problem. Here is the detailed solution:

First, we need to simplify the expressions on both sides of the inequality. We can use the distributive property to multiply the terms inside the parentheses.

$$2.4(2x-3)-1.8x < 0.5(6+3x)$$ $$4.8x-7.2-1.8x < 3+1.5x$$

Next, we can combine the like terms on each side by adding or subtracting them.

$$3x-7.2 < 1.5x+3$$

Then, we can isolate the variable x on one side by moving the terms that do not contain x to the other side. We can do this by adding or subtracting the same amount from both sides.

$$3x-7.2+7.2 < 1.5x+3+7.2$$ $$3x < 1.5x+10.2$$ $$3x-1.5x < 1.5x-1.5x+10.2$$ $$1.5x < 10.2$$

Finally, we can find the value of x by dividing both sides by the coefficient of x, which is 1.5.

$$\frac{1.5x}{1.5} < \frac{10.2}{1.5}$$ $$x < 6.8$$

Therefore, the solution of the inequality is $$x < 6.8$$.

I hope this helps you understand how to solve inequalities. If you have any other questions, feel free to ask me.Ответь+подробно.++2.4(2x-3)-1.8x‹0.5(6+3x)​+