Final answer:
To solve the symbolic inequality, we solve each inequality separately. The solution set is (-∞, -2) U (0, ∞).
Step-by-step explanation:
To solve the inequality symbolically, we'll solve each inequality separately. First, let's solve the left inequality: 2 > 3(x + 2) - 4. Solving it step by step, we have 2 > 3x + 6 - 4. Simplifying, we get 2 > 3x + 2. Subtracting 2 from both sides, we get 0 > 3x. Dividing both sides by 3, we have x < 0.
Now, let's solve the right inequality: 3(x + 2) - 4 > -4. Solving it step by step, we have 3x + 6 - 4 > -4. Simplifying, we get 3x + 2 > -4. Subtracting 2 from both sides, we get 3x > -6. Dividing both sides by 3, we have x > -2.
The solution set in interval form is (-∞, -2) U (0, ∞).
Learn more about Solving symbolic inequalities