Question

При каких значениях x функция у = 12-x\6 + 1 принимает положительные значения?

Answer 1

(12*6-x+6)/6>0
78-x>0
-x>-78
x<78
x∈(-∞;78)

Answer 2

To find the values of x for which the function y = 12 - x/6 + 1 takes positive values, we need to solve the inequality y > 0.

First, let's rewrite the function with the correct formatting:

y = 12 - x/6 + 1

Combine the constants:

y = 13 - x/6

Now, we want to find the values of x that make y greater than 0:

y > 0

13 - x/6 > 0

To solve this inequality, follow these steps:

Step 1: Move the constant term to the other side of the inequality:

-x/6 > -13

Step 2: To isolate x, multiply both sides by -6. Remember, when you multiply or divide by a negative number, you need to reverse the inequality sign.

x < 6 * 13

x < 78

So, the values of x for which the function y = 12 - x/6 + 1 takes positive values are x < 78.