Question

1)3,5<5х<10 2)3<2х+1<=8 Только с решением пожалуйста Помогите!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

1) с 0,8 по 1,9
2) с 2,2 по 3,5

Answer 2

1. 3 < 5x < 10

To solve this compound inequality, we need to break it down into two separate inequalities:

First inequality: 3 < 5x

To isolate x, divide both sides by 5 (remember to reverse the inequality when dividing by a negative number): 3/5 < x

Second inequality: 5x < 10

To isolate x, divide both sides by 5: x < 10/5 x < 2

So, combining the results from both inequalities: 3/5 < x < 2

2. 3 < 2x + 1 ≤ 8

To solve this compound inequality, we need to break it down into two separate inequalities:

First inequality: 3 < 2x + 1

To isolate x, subtract 1 from both sides: 3 - 1 < 2x 2 < 2x

Next, divide both sides by 2: 2/2 < x 1 < x

Second inequality: 2x + 1 ≤ 8

To isolate x, subtract 1 from both sides: 2x ≤ 8 - 1 2x ≤ 7

Finally, divide both sides by 2: x ≤ 7/2 x ≤ 3.5

So, combining the results from both inequalities: 1 < x ≤ 3.5

Remember that the symbol "<" means "less than" and the symbol "≤" means "less than or equal to."