Question

Какое из данных чисел является решение системы неравенств {2x<16 3x+1>10 ?Помогите пожалуйста, умоляю прошу помогите Смотреть ответ Должно получиться, 6 или 3 или 4 или 3,5 Только полностью напишите пожалуйста пожалуйста shatyloanna7 shatyloanna7 2x<16 x=9,10...и т.д. 2*9<16 2*10<16 3x+1>10 х=2,1,0,-1...и т.д. 3*2+1>10 3*1+1>10 3*0+1>10 3*(-1)+1>10

Answer 1

Solving the System of Inequalities

To find the solution to the system of inequalities 2x < 16 and 3x + 1 > 10, we need to determine the values of x that satisfy both inequalities.

Let's solve each inequality separately:

1. 2x < 16: - To isolate x, we divide both sides of the inequality by 2: x < 8.

2. 3x + 1 > 10: - First, we subtract 1 from both sides of the inequality: 3x > 9. - Then, we divide both sides by 3: x > 3.

Now, let's combine the solutions from both inequalities:

- The first inequality, x < 8, tells us that x must be less than 8. - The second inequality, x > 3, tells us that x must be greater than 3.

Therefore, the values of x that satisfy both inequalities are any values of x that are greater than 3 and less than 8.

In interval notation, the solution can be expressed as (3, 8), meaning all values of x between 3 and 8, excluding 3 and 8.

Please let me know if you have any further questions!