Question

5х+2>3х+10 7х-4≤х+14

Answer 1

5х+2>3х+10                 7х-4≤х+14

5х-3х>10-2                   7х-х≤14+4

2х>8                             6х≤ 18  

х>4                                х≤3

Answer 2

Ответ:

1)x>4

2)x≤3

Пошаговое объяснение:

1)5x+2>3x+10

Чтобы решить пример, нам нужно перевести числа через знак.

====================================================================

Напоминаю, что при переводе чисел через знак, число меняет знак. К примеру:

5x+10=0

5x=-10

====================================================================

5x-3x>10-2

2x>8

====================================================================

Чтобы узнать, чему равен 1x, нам нужно множитель перевести через знак. Например:

4 * x=24

x=24 : 4

====================================================================

2x>8

x>8 : 2

x> 4

2) 7x-4≤x+14

7x-x≤14+4

6x≤18

x≤18 : 6

x≤3

Answer 3

To solve the inequalities, we'll isolate $x$ in each case:

1. $5x + 2 > 3x + 10$:

   Subtract $3x$ from both sides to isolate $x$:

   $2x + 2 > 10$

   Subtract $2$ from both sides:

   $2x > 8$

   Divide both sides by $2$ (note that since $2$ is positive, we don't need to flip the inequality sign):

   $x > 4$

   So, the solution for this inequality is $x > 4$.

2. $7x - 4 \leq x + 14$:

   Subtract $x$ from both sides to isolate $x$:

   $6x - 4 \leq 14$

   Add $4$ to both sides:

   $6x \leq 18$

   Divide both sides by $6$ (note that since $6$ is positive, we don't need to flip the inequality sign):

   $x \leq 3$

   So, the solution for this inequality is $x \leq 3$.

Therefore, the solution for the system of inequalities is $x \leq 3$ and $x > 4$. These conditions are not simultaneously satisfiable, which means there is no solution that satisfies both inequalities at the same time.