Question

5х+9>-8+11 7у-69+13≤5у+912-1

Answer 1

5х+9>-8+11

7у-69+13≤5у+912-1

1) 5х+9>-8+11

5x+9>3

5x>-9+3 (9 перенесли в правую часть к 3)

5x>-6

x>-6/5

x>-1,2 или 1 целая 1/5

2) 7у-69+13≤5у+912-1

7y-56≤5y+911

Теперь игрики в одну часть переносим, просто числа в другую

7y-5y≤56+911

2y≤967

y≤967/2

y≤483,5 или 483 целых 1/2

Answer 2

To solve the inequalities, let's start by simplifying each expression step by step:

1. 5x + 9 > -8 + 11

   Simplify the right side:

   5x + 9 > 3

2. 7y - 69 + 13 ≤ 5y + 912 - 1

   Simplify the right side:

   7y - 69 + 13 ≤ 5y + 911

   Combine like terms:

   7y - 56 ≤ 5y + 911

Now, let's solve each inequality separately:

1. 5x + 9 > 3

   Subtract 9 from both sides:

   5x > 3 - 9

   Simplify:

   5x > -6

   Divide both sides by 5. Since we're dividing by a positive number, the inequality sign remains the same:

   x > -6/5

   Therefore, the solution for the first inequality is x > -6/5.

2. 7y - 56 ≤ 5y + 911

   Subtract 5y from both sides:

   7y - 5y - 56 ≤ 911

   Simplify:

   2y - 56 ≤ 911

   Add 56 to both sides:

   2y ≤ 911 + 56

   Simplify:

   2y ≤ 967

   Divide both sides by 2. Since we're dividing by a positive number, the inequality sign remains the same:

   y ≤ 967/2

   Therefore, the solution for the second inequality is y ≤ 967/2.

In summary:

1. x > -6/5
2. y ≤ 967/2