Question

Решить неравенство. 3,5 · (x - 6) > 6,5x - 46. Пожалуйста, решите. Экзамен по математике.

Answer 1

3,5·(x-6)>6,5x-46
3.5х-21>6.5х-46
46-21>6.5х-3.5х
25>3х
х>3/25

Answer 2

Solving the Inequality

To solve the given inequality 3.5 * (x - 6) > 6.5x - 46, we can follow these steps:

1. Distribute the 3.5 on the left side of the inequality. 2. Combine like terms. 3. Solve for x.

Step 1: Distribute the 3.5

Distribute 3.5 to both terms inside the parentheses: 3.5x - 21 > 6.5x - 46

Step 2: Combine Like Terms

Subtract 3.5x from both sides of the inequality: -21 > 3x - 46

Add 46 to both sides of the inequality: 25 > 3x

Step 3: Solve for x

Finally, divide both sides by 3: x < 25/3

So, the solution to the inequality 3.5 * (x - 6) > 6.5x - 46 is x < 25/3.