Question

15 - 2(x - 3) < 2x + 5(6x - 1)помогите пожалуйста подробно решить надо​

Answer 1

Ответ:

15-2(x-3)< 2x+5(6x-1)= 15-2x+6< 2x+30x-5=21-2x<32x-5= -2x-32x< -5-21 = -34x< -26 = x>13/17 .........

Answer 2

Solving the Inequality Equation

To solve the inequality equation 15 - 2(x - 3) < 2x + 5(6x - 1), we can follow these steps:

1. Distribute and Simplify - First, distribute the terms on the right side of the inequality. - Then, simplify the equation by combining like terms.

2. Isolate the Variable - Next, isolate the variable term on one side of the inequality.

3. Solve for the Variable - Finally, solve for the variable to find the solution set for the inequality.

Step 1: Distribute and Simplify

Distribute the terms on the right side of the inequality and simplify the equation: - 15 - 2(x - 3) < 2x + 5(6x - 1) - 15 - 2x + 6 < 2x + 30x - 5

Step 2: Isolate the Variable

Isolate the variable term on one side of the inequality: - 15 - 2x + 6 < 2x + 30x - 5 - 21 - 2x < 32x - 5

Step 3: Solve for the Variable

Solve for the variable to find the solution set for the inequality: - 21 + 5 < 32x + 2x - 26 < 34x - 26/34 < x - 13/17 < x

So, the solution to the inequality equation 15 - 2(x - 3) < 2x + 5(6x - 1) is x > 13/17.