Question

1.3.5x – 7 > -14 + 3x- 4x + 5 > 29 + 2x​

Answer 1

Ответ:

5x – 7 > -14 + 3x

5x - 3x > -14 + 7

2x > -7

x > -3,5

- 4x + 5 > 29 + 2x​

- 4x - 2x > 29 - 5

- 6x > 24

x > 4

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Answer 2

To solve the compound inequality 1.3(5x - 7) > -14 + 3x - 4x + 5 > 29 + 2x, you'll need to simplify and isolate the variable x. Let's break it down step by step:

1. Start with the first inequality: 1.3(5x - 7) > -14 + 3x - 4x + 5.

2. Distribute 1.3 on the left side: 6.5x - 9.1 > -14 + x + 5.

3. Simplify both sides: 6.5x - 9.1 > -9 + x.

4. Move all x terms to the left side and constants to the right side:

   6.5x - x > -9.1 + 9.

5. Combine like terms:

   5.5x > -0.1.

6. Now, divide both sides by 5.5 to isolate x:

   (5.5x)/5.5 > (-0.1)/5.5.

   x > -0.01818 (approximately).

Now, let's move on to the second inequality: -14 + 3x - 4x + 5 > 29 + 2x.

1. Combine like terms on both sides:

   -14 - x + 5 > 29 + 2x.

2. Simplify further:

   -x - 9 > 29 + 2x.

3. Add x to both sides to move x terms to the left:

   -9 > 29 + 3x.

4. Subtract 29 from both sides:

   -9 - 29 > 3x.

5. Combine constants:

   -38 > 3x.

6. Finally, divide both sides by 3 to isolate x:

   (-38)/3 > 3x/3.

   x < -38/3.

So, the solution to the compound inequality is:

x > -0.01818 (approximately) AND x < -38/3.