Question

Решите систему х-1>2 -2х<-8

Answer 1

{х>2+1
{
{-х<-4

{х>3
{
{х>4

Ответ:
Х > 4

Answer 2

To solve the system of inequalities, let's handle each inequality separately:

1. x - 1 > 2
2. -2x < -8

Step 1: Solve the first inequality: x - 1 > 2

Add 1 to both sides: x > 2 + 1 x > 3

Step 2: Solve the second inequality: -2x < -8

Divide both sides by -2 (and reverse the inequality since we are dividing by a negative number): x > -8 / -2 x > 4

Now, we have the solutions for each inequality:

1. x > 3
2. x > 4

To find the solution for both inequalities together, we need to find the intersection of these solutions. Since both inequalities have the condition "x > some value," the solution will be the greater value, which is x > 4.

Therefore, the solution to the system of inequalities is x > 4.