Question

3x-(2x-7)<3(1+x)   ?????????????????????????????????  

Answer 1

3х-2х+7=3+3х

-2х=4

х=2

Ответ:х принадлежит от 2до минус бесконечности

Answer 2

To solve the inequality 3x - (2x - 7) < 3(1 + x), we can simplify and solve it step by step:

Step 1: Distribute 3 to the terms inside the parentheses on the right side of the inequality: 3x - (2x - 7) < 3 + 3x

Step 2: Remove the parentheses on the left side by distributing the negative sign: 3x - 2x + 7 < 3 + 3x

Simplifying the left side gives: x + 7 < 3 + 3x

Step 3: Rearrange the terms to isolate the variable on one side of the inequality: 7 - 3 < 3x - x

Simplifying the right side gives: 4 < 2x

Step 4: Divide both sides of the inequality by 2 to solve for x: 4/2 < 2x/2 2 < x

The solution to the inequality is x > 2.