Answer:
Let's solve this inequality step by step:
4x + 4x > -2x + 34
Simplifying the left-hand side:
8x > -2x + 34
Adding 2x to both sides:
10x > 34
Dividing by 10:
x > 3.4
Now let's solve the second inequality:
3(4x + 4) - 9 > 15x + 15
Distributing the 3:
12x + 12 - 9 > 15x + 15
Simplifying:
12x + 3 > 15x + 15
Subtracting 12x from both sides:
3 > 3x + 15
Subtracting 15 from both sides:
-12 > 3x
Dividing by 3 (and flipping the inequality sign, since we are dividing by a negative number):
x < -4
Therefore, the solution to the system of inequalities is:
x < -4 or x > 3.4.
Explanation: