Question

При каких значениях х функция у=1,5х+3 принимает : 1) положительное значение ; 2) отрицательное значение

Answer 1

1,5x+3>0, 1,5x>-3, x>-2. Ответ: (-2: + бесконечность). -2 не входит. 1,5x+3<0, 1,5x<-3, x<-2. Ответ: (- бесконечность: -2). -2 не входит.

Answer 2

Finding the Values of x for y = 1.5x + 3

To find the values of x for which the function y = 1.5x + 3 takes positive and negative values, we can analyze the equation and determine the conditions under which y is positive and negative.

The function y = 1.5x + 3 can be positive or negative based on the value of x. Let's analyze the conditions for both cases.

1) Positive Values: When does the function y = 1.5x + 3 take positive values?

The function y = 1.5x + 3 will take positive values when the expression 1.5x + 3 is greater than 0.

2) Negative Values: When does the function y = 1.5x + 3 take negative values?

The function y = 1.5x + 3 will take negative values when the expression 1.5x + 3 is less than 0.

Analyzing the Conditions

Let's analyze the conditions for both cases based on the given function.

The function y = 1.5x + 3 can be expressed as: y = 1.5x + 3

To find the values of x for which y is positive and negative, we can set up the following inequalities:

1) For positive values: 1.5x + 3 > 0

2) For negative values: 1.5x + 3 < 0

Conclusion

Based on the given function y = 1.5x + 3, the values of x for which the function takes positive and negative values can be determined by solving the inequalities 1.5x + 3 > 0 and 1.5x + 3 < 0.

Let's solve these inequalities to find the specific values of x for which the function y = 1.5x + 3 takes positive and negative values.