Question

6≤x+2x<18=как решить?​

Answer 1

6≤x+2x<18

5≤3x<18

3x≥6

3x<18

x≥6/3

x<18/3

x≥2

x<6

Ответ: [2; 6)

Answer 2

To solve the inequality 6 ≤ x + 2x < 18, you'll want to isolate the variable x by following these steps:

Step 1: Combine like terms on the left side of the inequality. Step 2: Simplify the inequality. Step 3: Solve for x.

Let's go through it step by step:

Step 1: Combine like terms on the left side of the inequality. Combine the x terms on the left side: x + 2x = 3x

Step 2: Simplify the inequality. The inequality now becomes: 6 ≤ 3x < 18

Step 3: Solve for x. To solve for x, we need to isolate it. First, let's deal with the "less than or equal to" part (6 ≤ 3x):

Divide both sides of the inequality by 3: 6/3 ≤ 3x/3 2 ≤ x

Now, let's deal with the "less than" part (3x < 18):

Divide both sides of the inequality by 3: 3x/3 < 18/3 x < 6

So the two parts of the inequality are: 2 ≤ x < 6

Thus, the solution to the inequality is 2 ≤ x < 6, which means that x can take any value between 2 (inclusive) and 6 (exclusive).