Question

2, 8x - 17>0,3x - 4,5,12,3x - 16,6<7,1x +19,8.​

Answer 1

Ответ:

2,8х-0,3х>-4,5+17; 2,5х>12,5; х>5

12,3х-7,1х<19,8+16,6; 5,2х<36,4; х<7

(5;7)

Answer 2

To solve this system of inequalities, we need to find the values of x that satisfy all of the given inequalities simultaneously. Let's break it down step by step:

1. 2x - 17 > 0
2. 3x - 4.5 < 12
3. 3x - 16 < 7
4. 1x + 19.8 > 8

Let's solve each inequality individually:

1. 2x - 17 > 0 Add 17 to both sides: 2x > 17 Divide by 2 (remember to flip the inequality when dividing by a negative number): x > 17/2

2. 3x - 4.5 < 12 Add 4.5 to both sides: 3x < 16.5 Divide by 3: x < 16.5/3 x < 5.5

3. 3x - 16 < 7 Add 16 to both sides: 3x < 23 Divide by 3: x < 23/3

4. 1x + 19.8 > 8 Subtract 19.8 from both sides: x > 8 - 19.8 x > -11.8

Now, let's consider all of the inequalities together:

• x > 17/2
• x < 5.5
• x < 23/3
• x > -11.8

To find the values of x that satisfy all of these inequalities simultaneously, you can look for the overlapping regions on the number line. Combining these inequalities, we get:

x > 17/2 (i.e., x is greater than 8.5) AND x < 5.5 (i.e., x is less than 5.5) AND x < 23/3 (i.e., x is less than 7.67) AND x > -11.8 (i.e., x is greater than -11.8).

The overlapping region that satisfies all of these conditions is:

-11.8 < x < 5.5

So, the solution to the system of inequalities is -11.8 < x < 5.5.