Question

2х-3(х+4)<x-12 решите неравенство

Answer 1

2х-3(х+4)<x-12 
2x-3x-12<x-12
2x-3x-x<-12+12
-2x<0
x>0
x∈(0;+oo)

Answer 2

To solve the inequality 2x - 3(x + 4) < x - 12, we will simplify the expression and isolate the variable x. Here's the step-by-step solution:

1. Distribute the -3 to the terms inside the parentheses: 2x - 3(x + 4) < x - 12 2x - 3x - 12 < x - 12

2. Combine like terms on both sides of the inequality:

• x - 12 < x - 12

3. Add x to both sides to eliminate the x-term on the left side:

• x + x - 12 < x - 12 + x -12 < 0

4. The inequality -12 < 0 is true for all values of x.

Therefore, the solution to the inequality 2x - 3(x + 4) < x - 12 is x ∈ (-∞, +∞), which means that any real number is a solution.