Final answer:
For the function g(x) = 6x^2 - 8, we can solve for inequalities such as g(x) > 0, resulting in set notation x and interval notation (-∞, -√(4/3)) ∪ (√(4/3), ∞).
Step-by-step explanation:
For the function g(x) = 6x^2 - 8, we are not given a specific inequality to solve. However, we can explore various possible inequalities that could involve this function. For example, if we want to find the set of x values where g(x) is greater than 0, we would solve the inequality 6x^2 - 8 > 0. The solution to this inequality can be given in set notation and interval notation. Upon factoring, we find that the inequality simplifies to x^2 > 4/3. The solutions to this inequality are x < -√(4/3) and x > √(4/3), or approximately x < -1.15 and x > 1.15.
The set notation for this would be x < -√(4/3) or x > √(4/3), and the interval notation would be (-∞, -√(4/3)) ∪ (√(4/3), ∞).