Question

2,8x - 17 > 0,3x – 4,5 12,3x - 16,6 < 7,1x + 19,8

Answer 1

какие предложения является раносильными

Answer 2

To solve these inequalities, you can follow these steps:

1. Start by simplifying both sides of the inequalities as much as possible.

2. Isolate the variable x on one side of the inequality sign.

3. Solve for x to find the solution to each inequality.

Let's solve the given inequalities step by step:

1. 2.8x - 17 > 0.3x - 4.5

Subtract 0.3x from both sides: 2.8x - 0.3x - 17 > -4.5

Combine like terms on the left side: 2.5x - 17 > -4.5

Add 17 to both sides to isolate 2.5x: 2.5x > -4.5 + 17 2.5x > 12.5

2. 12.3x - 16.6 < 7.1x + 19.8

Subtract 7.1x from both sides: 12.3x - 7.1x - 16.6 < 19.8

Combine like terms on the left side: 5.2x - 16.6 < 19.8

Add 16.6 to both sides to isolate 5.2x: 5.2x < 19.8 + 16.6 5.2x < 36.4

Now, both inequalities are simplified and isolated:

1. 2.5x > 12.5
2. 5.2x < 36.4

Next, we'll solve each inequality for x:

1. Divide both sides of the first inequality by 2.5 to solve for x: x > 12.5 / 2.5 x > 5

2. Divide both sides of the second inequality by 5.2 to solve for x: x < 36.4 / 5.2 x < 7

So, the solutions for the inequalities are:

1. x > 5
2. x < 7