Question

2х+3>х+1 2х-1<_5х+1 3-2х>-2х

Answer 1

Вот решение, если что-то ещё нужно напишите:)

Answer 2

To solve these inequalities, you can follow these steps:

1. 2x + 3 > x + 1

First, subtract x from both sides of the inequality:

2x - x + 3 > 1

This simplifies to:

x + 3 > 1

Now, subtract 3 from both sides:

x + 3 - 3 > 1 - 3

x > -2

So, the solution to the first inequality is x > -2.

2. 2x - 1 ≤ 5x + 1

First, subtract 5x from both sides of the inequality:

2x - 5x - 1 ≤ 1

This simplifies to:

-3x - 1 ≤ 1

Now, add 1 to both sides:

-3x - 1 + 1 ≤ 1 + 1

-3x ≤ 2

Finally, divide both sides by -3, remembering to reverse the inequality when dividing by a negative number:

(-3x)/(-3) ≥ 2/(-3)

x ≥ -2/3

So, the solution to the second inequality is x ≥ -2/3.

3. 3 - 2x > -2x

In this inequality, notice that both sides have -2x, so it simplifies to:

3 > 0

This is always true, no matter what value x takes. So, the solution to the third inequality is all real numbers or (-∞, ∞).

In summary:

1. x > -2
2. x ≥ -2/3
3. All real numbers or (-∞, ∞)