Question

9 (0,5y+1) -3,1 (1-y) >5,9+7,2y

Answer 1

Упростим: 9 (0,5y+1) -3,1 (1-y) >5,9+7,2y , 4,5y+9 - 3,1 + 3,1y > 5,9 + 7,2y ;

7,6y + 5,9 > 5,9 + 7,2y ; 7,6y > 7,2y ;  7,6y-7,2y > 0 ; 0,4y > 0; подходят любые положительные y

Answer 2

4,5y+9-3,1+3,1y>5,9+7,2y
7,6y+12,1-5,9-7,2y>0
0,4y+6,2>0
0,4y>6,2
y>6,2÷0,4
y>15,5

Answer 3

To solve the inequality, let's simplify and solve step by step:

9(0.5y + 1) - 3.1(1 - y) > 5.9 + 7.2y

First, distribute the multiplication:

4.5y + 9 - 3.1 + 3.1y > 5.9 + 7.2y

Combine like terms:

7.6y + 5.9 > 5.9 + 7.2y

Next, isolate the variables on one side and the constants on the other side:

7.6y - 7.2y > 5.9 - 5.9

0.4y > 0

Divide both sides of the inequality by 0.4:

y > 0/0.4

y > 0

Therefore, the solution to the inequality is y > 0.