Question

2) 3(x + 8) > 9 - 2 x, 3(x + 4) > x + 5.​

Answer 1

Ответ:

x > -3 , x > -7/2

Пошаговое объяснение:

.........

Answer 2

Let's solve the given system of inequalities step by step:

1. 3(x + 8) > 9 - 2x

First, distribute 3 to both terms inside the parentheses: 3x + 24 > 9 - 2x

Next, combine like terms: 3x + 2x > 9 - 24 5x > -15

Divide both sides of the inequality by 5: x > -15/5 x > -3

So, the first inequality is x > -3.

2. 3(x + 4) > x + 5

Again, distribute 3 to both terms inside the parentheses: 3x + 12 > x + 5

Next, combine like terms: 3x - x > 5 - 12 2x > -7

Divide both sides of the inequality by 2: x > -7/2

So, the second inequality is x > -7/2.

Combining the results from both inequalities, we have: x > -3 and x > -7/2

Since both inequalities must be satisfied simultaneously, we take the intersection of the two solutions: x > -3 (because it is the larger value between -3 and -7/2)

Therefore, the solution to the given system of inequalities is x > -3.