Question

1) 2x+3< x+1 2) x-5>3-x 3) 2-x<3-x

Answer 1

2)x>4; 1)x<-2; 3) не решаеться

Answer 2

Let's solve each of the given inequalities step by step:

1. 2x + 3 < x + 1:

To solve this inequality, we'll isolate the variable x on one side of the inequality sign. Here's how we can do it:

2x + 3 < x + 1 Subtract x from both sides: 2x - x + 3 < x - x + 1 x + 3 < 1 Subtract 3 from both sides: x + 3 - 3 < 1 - 3 x < -2

So the solution to the inequality is x < -2.

2. x - 5 > 3 - x:

To solve this inequality, we'll again isolate the variable x. Here's the step-by-step solution:

x - 5 > 3 - x Add x to both sides: x - x - 5 > 3 - x + x -5 > 3 This inequality is always true since -5 is less than 3. So the solution is all real numbers (-∞, +∞).

3. 2 - x < 3 - x:

Let's solve this inequality by isolating the variable x:

2 - x < 3 - x Add x to both sides: 2 - x + x < 3 - x + x 2 < 3

This inequality is always true since 2 is less than 3. So the solution is all real numbers (-∞, +∞).

To summarize:

1. The solution to 2x + 3 < x + 1 is x < -2.
2. The solution to x - 5 > 3 - x is all real numbers (-∞, +∞).
3. The solution to 2 - x < 3 - x is all real numbers (-∞, +∞).