Question

5) 6(3 + 5y) - (2 + 7y)<5(4 + 3y);6) 4(3y - 1)-3(y -1) > 2(3+y).​

Answer 1

Ответ:

1)18+30 у -2 - 7у<20+15у

16+23у<20+15у

23у-15у<20-16

8у<4

у<1

$y < \frac{1}{2 }$

2)12у-4-3у+3>6+2у

9у-1>6+2у

9у-2у>6+1

7у>7

у>1

Answer 2

Let's solve the given inequalities step by step:

5. 6(3 + 5y) - (2 + 7y) < 5(4 + 3y)

First, let's simplify the inequality:

18 + 30y - 2 - 7y < 20 + 15y

Combine like terms:

16 + 23y < 20 + 15y

Subtract 15y from both sides:

16 + 8y < 20

Subtract 16 from both sides:

8y < 4

Divide both sides by 8:

y < 0.5

Therefore, the solution to the inequality is y < 0.5.

6. 4(3y - 1) - 3(y - 1) > 2(3 + y)

Let's simplify the inequality:

12y - 4 - 3y + 3 > 6 + 2y

Combine like terms:

9y - 1 > 6 + 2y

Subtract 2y from both sides:

7y - 1 > 6

Add 1 to both sides:

7y > 7

Divide both sides by 7:

y > 1

Therefore, the solution to the inequality is y > 1.

In summary: 5) The solution is y < 0.5.

6. The solution is y > 1.