Question

[5x-3<12 [5x-3>7 математика

Answer 1

Я не знаю, надо ли рисовать, система ли это, но уравнение я решила

Answer 2

To solve the inequalities, we need to find the value of 'x' that satisfies both conditions:

1. 5x - 3 < 12
2. 5x - 3 > 7

Let's solve them one by one:

1. 5x - 3 < 12: Add 3 to both sides of the inequality: 5x - 3 + 3 < 12 + 3 5x < 15

Now, divide both sides by 5 to isolate 'x': 5x/5 < 15/5 x < 3

So, the solution for the first inequality is x < 3.

2. 5x - 3 > 7: Add 3 to both sides of the inequality: 5x - 3 + 3 > 7 + 3 5x > 10

Now, divide both sides by 5 to isolate 'x': 5x/5 > 10/5 x > 2

So, the solution for the second inequality is x > 2.

Combining both solutions, we find that the range of 'x' that satisfies both inequalities is:

2 < x < 3