Question

2(x-1)<3(2-x) решить неравенства

Answer 1

2(х-1)<3(2-х)

2*х-2*1<3*2-3*х

2х-2*1<3*2-3х

2х+3х<3*2-2*1

2х+3х<6+2

5х<8

х<8/5

Answer 2

To solve the inequality 2(x-1) < 3(2-x), follow these steps:

Step 1: Distribute the terms on the right side of the inequality: 2(x-1) < 6 - 3x

Step 2: Expand the expression: 2x - 2 < 6 - 3x

Step 3: Add 3x to both sides to move the x terms to the left side: 2x + 3x - 2 < 6

Step 4: Combine the x terms: 5x - 2 < 6

Step 5: Add 2 to both sides to isolate the x term: 5x < 8

Step 6: Divide both sides by 5 to solve for x: x < 8/5

So the solution to the inequality is x < 8/5.