Question

3(x + 8) > 9 - 2x,3(x + 4) > x + 5.​

Answer 1

Ответ:315/9-2

Пошаговое объяснение:

3(x+8)>9-2x=3(8x)+9-2=7

3(x + 4) > x + 5=3(4x)+4+2*9

Answer 2

To solve this system of inequalities, you can follow these steps:

1. Solve each inequality separately: a) 3(x + 8) > 9 - 2x b) 3(x + 4) > x + 5

2. Simplify and isolate the variable (x) in each inequality.

Let's start with the first inequality: a) 3(x + 8) > 9 - 2x

Distribute the 3 on the left side: 3x + 24 > 9 - 2x

Add 2x to both sides to isolate x terms: 3x + 2x + 24 > 9

Combine like terms: 5x + 24 > 9

Now, subtract 24 from both sides: 5x > 9 - 24

5x > -15

Divide both sides by 5: x > -15/5

x > -3

Now, let's move on to the second inequality: b) 3(x + 4) > x + 5

Distribute the 3 on the left side: 3x + 12 > x + 5

Subtract x from both sides to isolate x terms: 3x - x + 12 > 5

Combine like terms: 2x + 12 > 5

Now, subtract 12 from both sides: 2x > 5 - 12

2x > -7

Divide both sides by 2: x > -7/2

So, the solution to the system of inequalities is: x > -3 (from the first inequality) and x > -7/2 (from the second inequality)

Since both inequalities have the condition that x is greater than a certain value, you can take the intersection of these two solution sets. The solution is x > -3 because it is the stricter condition of the two.