Question

8 класс решить систему неравенств

Answer 1

Решим неравенства отдельно
 Неравенство 1.
$3x+9 \leq 0 \\ 3x \leq -9$
 При делении неравенства на положительное число знак неравенства не меняется.
 $x \leq (-9):3 \\ x \leq -3$
 
 Неравенство 2.
$x-5 \geq 1 \\ x \geq 1+5\\ x \geq 6$

Общее решение неравенств: нет решений.

Ответ: нет решений.

Answer 2

Solving the System of Inequalities for 8th Grade

To solve the system of inequalities 8+4x>0 and 4-3x>-8, we can follow these steps:

1. Solving 8+4x>0: - Subtract 8 from both sides: 4x > -8 - Divide by 4: x > -2

2. Solving 4-3x>-8: - Add 3x to both sides: 4 > 3x - 8 - Add 8 to both sides: 12 > 3x - Divide by 3: 4 > x

So, the solution to the system of inequalities is x > -2 and x < 4.

Understanding Inequalities

Inequalities are expressions that compare two values and show their relationship. Here are some key points to remember about inequalities:

- Symbols and Meanings: - < means "less than" - > means "greater than" - ≤ means "less than or equal to" - ≥ means "greater than or equal to"

- Solving Inequalities: - When multiplying or dividing by a negative number, the inequality sign is reversed.

- Graphing Inequalities: - Inequalities can be graphed on a number line to represent the range of values that satisfy the inequality.

Additional Information

If you have any further questions or need more assistance with inequalities or any other math topic, feel free to ask!